Please wait...

Solution
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
Let A1 be the area of the region bounded by the curves y=sin‌x,y=cos‌x and y-axis in the first quadrant. Also, let A2 be the area of the region bounded by the curves y=sin‌x, y=cos‌x,x-axis and x=‌
π
2
 in the first quadrant. Then,
[26 Feb 2021 Shift 2]
Let A1 be the area of the region bounded by the curves y=sin‌x,y=cos‌x and y-axis in the first quadrant. Also, let A2 be the area of the region bounded by the curves y=sin‌x, y=cos‌x,x-axis and x=‌
π
2
 in the first quadrant. Then,
[26 Feb 2021 Shift 2]
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
The area bounded by the lines y=||x−1|−2| is ..........
[26 Feb 2021 Shift 1]
The area bounded by the lines y=||x−1|−2| is ..........
[26 Feb 2021 Shift 1]
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
The graph of sine and cosine functions, intersect each other at a number of points and between two consecutive points of intersection, the two graphs enclose the same area A. Then A4 is equal to ......... .
[25 Feb 2021 Shift 1]
The graph of sine and cosine functions, intersect each other at a number of points and between two consecutive points of intersection, the two graphs enclose the same area A. Then A4 is equal to ......... .
[25 Feb 2021 Shift 1]
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
The area of the region R={(x,y):5x2≤y≤2x2+9} is
[24 Feb 2021 Shift 2]
The area of the region R={(x,y):5x2≤y≤2x2+9} is
[24 Feb 2021 Shift 2]
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
If the area of the triangle formed by the positive x-axis, the normal and the tangent to the circle (x−2)2+(y−3)2=25 at the point (5,7) is A, then 24A is equal to ......... .
[24 Feb 2021 Shift 2]
If the area of the triangle formed by the positive x-axis, the normal and the tangent to the circle (x−2)2+(y−3)2=25 at the point (5,7) is A, then 24A is equal to ......... .
[24 Feb 2021 Shift 2]
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
The area (in sq. units) of the part of the circle x2+y2=36, which is outside the parabola y2=9x, is :
24 Feb 2021 Shift 1
The area (in sq. units) of the part of the circle x2+y2=36, which is outside the parabola y2=9x, is :
24 Feb 2021 Shift 1
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
Let g(x)=
x
∫
0
f(t)dt, where f is continuous function in [0,3] such that ‌
1
3
≤f(t)≤1 for all t∈[0,1] and 0≤f(t)≤‌
1
2
 for all t∈(1,3]. The largest possible interval in which g(3) lies is
[18 Mar 2021 Shift 2]
Let g(x)=
x
∫
0
f(t)dt, where f is continuous function in [0,3] such that ‌
1
3
≤f(t)≤1 for all t∈[0,1] and 0≤f(t)≤‌
1
2
 for all t∈(1,3]. The largest possible interval in which g(3) lies is
[18 Mar 2021 Shift 2]
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
The area bounded by the curve 4y2=x2(4−x)(x−2) is equal to
[18 Mar 2021 Shift 2]
The area bounded by the curve 4y2=x2(4−x)(x−2) is equal to
[18 Mar 2021 Shift 2]
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
Let f:[−3,1]→R be given as f(x)={
min{(x+6),x2}‌−3≤x≤0
max{√x,x2}‌0≤x≤1
}
If the area bounded by y=f(x) and x-axis is A, then the value of 6A is equal to
[17 Mar 2021 Shift 2]
Let f:[−3,1]→R be given as f(x)={
min{(x+6),x2}‌−3≤x≤0
max{√x,x2}‌0≤x≤1
}
If the area bounded by y=f(x) and x-axis is A, then the value of 6A is equal to
[17 Mar 2021 Shift 2]
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
If the area of the bounded region
R={(x,y):max{0,logex}≤y≤2x,
1
2
≤x≤2}
is, α(loge2)−1+β(loge2)+γ, then the value of(α+β−2γ)2 is equal to :
[27 Jul 2021 Shift 1]
If the area of the bounded region
R={(x,y):max{0,logex}≤y≤2x,
1
2
≤x≤2}
is, α(loge2)−1+β(loge2)+γ, then the value of(α+β−2γ)2 is equal to :
[27 Jul 2021 Shift 1]
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
The area of the region bounded by y−x=2 and x2=y is equal to :-
[27 Jul 2021 Shift 2]
The area of the region bounded by y−x=2 and x2=y is equal to :-
[27 Jul 2021 Shift 2]
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
The area (in sq. units) of the region, given by the set {(x,y)∈R×R|x≥0,2x2≤y≤4−2x} is :
[25 Jul 2021 Shift 1]
The area (in sq. units) of the region, given by the set {(x,y)∈R×R|x≥0,2x2≤y≤4−2x} is :
[25 Jul 2021 Shift 1]
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
The area (in sq. units) of the region bounded by the curves x2+2y−1=0,y2+4x−4=0 and y2−4x−4=0in the upper half plane is _______.
[22 Jul 2021 Shift 2]
The area (in sq. units) of the region bounded by the curves x2+2y−1=0,y2+4x−4=0 and y2−4x−4=0in the upper half plane is _______.
[22 Jul 2021 Shift 2]
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
If the line y=mx bisects the area enclosed by the lines x=0 and y=0,x=
3
2
 and the curve y=1+4x−x2, then 12m is equal to
[31 Aug 2021 Shift 2]
If the line y=mx bisects the area enclosed by the lines x=0 and y=0,x=
3
2
 and the curve y=1+4x−x2, then 12m is equal to
[31 Aug 2021 Shift 2]
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
The area of the region bounded by the parabola (y−2)2=(x−1) , the tangent to it at the point whose ordinate is 3 and the X-axis is
[27 Aug 2021 Shift 2]
The area of the region bounded by the parabola (y−2)2=(x−1) , the tangent to it at the point whose ordinate is 3 and the X-axis is
[27 Aug 2021 Shift 2]
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
The area of the region S={(x,y):3x2≤4y≤6x+24} is
[26 Aug 2021 Shift 1]
The area of the region S={(x,y):3x2≤4y≤6x+24} is
[26 Aug 2021 Shift 1]
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
Let a and b respectively be the points of local maximum and local minimum of the function f(x)=2x3−3x2−12x . If A is the total area of the region bounded by y=f(x), the X- axis and the lines x=a and x=b, then 4A is equal to
[26 Aug 2021 Shift 2]
Let a and b respectively be the points of local maximum and local minimum of the function f(x)=2x3−3x2−12x . If A is the total area of the region bounded by y=f(x), the X- axis and the lines x=a and x=b, then 4A is equal to
[26 Aug 2021 Shift 2]
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
The area, enclosed by the curves y=sin‌x+cos‌x and y=|cos‌x−sin‌x| and the lines x=0,x=
π
2
, is
[1 Sep 2021 Shift 2]
The area, enclosed by the curves y=sin‌x+cos‌x and y=|cos‌x−sin‌x| and the lines x=0,x=
π
2
, is
[1 Sep 2021 Shift 2]
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
The area of the region, enclosed by the circle x2+y2=2 which is not common to the region bounded by the parabola y2=x and the straight line y=x, is:
[Jan. 7, 2020 (I)]
The area of the region, enclosed by the circle x2+y2=2 which is not common to the region bounded by the parabola y2=x and the straight line y=x, is:
[Jan. 7, 2020 (I)]
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
The area (in sq. units) of the region {(x,y)∈R2|4x2≤y≤8x+12} is:
[Jan. 7, 2020 (II)]
The area (in sq. units) of the region {(x,y)∈R2|4x2≤y≤8x+12} is:
[Jan. 7, 2020 (II)]
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
For a>0, let the curves C1:y2=ax and C2:x2=ay intersect at origin O and a point P. Let the line x=b(0<b<a) intersect the chord OP and the x -axis at points Q and R, respectively. If the line x=b bisects the area bounded by the curves, C1 and C2, and the area of ΔOQR=
1
2
, then 'a' satisfies the equation:
[Jan. 8, 2020 (I)]
For a>0, let the curves C1:y2=ax and C2:x2=ay intersect at origin O and a point P. Let the line x=b(0<b<a) intersect the chord OP and the x -axis at points Q and R, respectively. If the line x=b bisects the area bounded by the curves, C1 and C2, and the area of ΔOQR=
1
2
, then 'a' satisfies the equation:
[Jan. 8, 2020 (I)]
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
The area (in sq. units) of the region {(x,y)∈R2:x2≤y≤|3−2x|, is:
[Jan. 8, 2020 (II)]
The area (in sq. units) of the region {(x,y)∈R2:x2≤y≤|3−2x|, is:
[Jan. 8, 2020 (II)]
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
Given:
f(x)={
x,0≤x<
1
2
1
2
,x=
1
2
1−x,
1
2
<x≤1
and g(x)=(x−
1
2
)2,x∈R. Then the area (in sq. units) of the region bounded by the curves, y=f(x) and y=g(x) between the lines, 2x=1 and 2x=√3, is:
[Jan. 9, 2020 (II)]
Given:
f(x)={
x,0≤x<
1
2
1
2
,x=
1
2
1−x,
1
2
<x≤1
and g(x)=(x−
1
2
)2,x∈R. Then the area (in sq. units) of the region bounded by the curves, y=f(x) and y=g(x) between the lines, 2x=1 and 2x=√3, is:
[Jan. 9, 2020 (II)]
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
The area (in sq. units) of the region A={(x,y):(x−1)[x]≤y≤2√x, 0≤x≤2}, where [t] denotes the greatest integer function, is:
[Sep. 05, 2020 (II)]
The area (in sq. units) of the region A={(x,y):(x−1)[x]≤y≤2√x, 0≤x≤2}, where [t] denotes the greatest integer function, is:
[Sep. 05, 2020 (II)]
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
The area (in sq. units) of the region
{(x,y):0≤y≤x2+1,0≤y≤x+1,
1
2
≤x≤2}
is
[Sep. 03, 2020 (I)]
The area (in sq. units) of the region
{(x,y):0≤y≤x2+1,0≤y≤x+1,
1
2
≤x≤2}
is
[Sep. 03, 2020 (I)]
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
The area (in sq. units) of the region A={(x,y):|x|+|y|≤1,2y2≥|x|} is:
[Sep. 06, 2020 (I)]
The area (in sq. units) of the region A={(x,y):|x|+|y|≤1,2y2≥|x|} is:
[Sep. 06, 2020 (I)]
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
The area (in sq. units) of the region enclosed by the curves y=x2−1 and y=1−x2 is equal to:
[Sep. 06, 2020 (II)]
The area (in sq. units) of the region enclosed by the curves y=x2−1 and y=1−x2 is equal to:
[Sep. 06, 2020 (II)]
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
Consider a region R=(x,y)∈{R2:x2≤y≤2x}. If a line y=α divides the area of region R into two equal parts, then which of the following is true?
[Sep.02,2020(II)]
Consider a region R=(x,y)∈{R2:x2≤y≤2x}. If a line y=α divides the area of region R into two equal parts, then which of the following is true?
[Sep.02,2020(II)]
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
The area (in sq. units) bounded by the parabola y=x2−1, the tangent at the point (2,3) to it and the y -axis is:
[Jan. 9,2019 (I)]
The area (in sq. units) bounded by the parabola y=x2−1, the tangent at the point (2,3) to it and the y -axis is:
[Jan. 9,2019 (I)]
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
The area (in sq. units) of the region bounded by the parabola, y=x2+2 and the lines, y=x+1,x=0 and x=3 is :
[Jan. 12, 2019 (I)]
The area (in sq. units) of the region bounded by the parabola, y=x2+2 and the lines, y=x+1,x=0 and x=3 is :
[Jan. 12, 2019 (I)]
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
The area (in sq. units) of the region bounded by the curvex2=4y and the straight line x=4y−2 is:
[Jan. 11, 2019 (I)]
The area (in sq. units) of the region bounded by the curvex2=4y and the straight line x=4y−2 is:
[Jan. 11, 2019 (I)]
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
The area (in sq. units) in the first quadrant bounded by the parabola, y=x2+1, the tangent to it at the point (2,5) and the coordinate axes is:
[Jan. 11, 2019 (II)]
The area (in sq. units) in the first quadrant bounded by the parabola, y=x2+1, the tangent to it at the point (2,5) and the coordinate axes is:
[Jan. 11, 2019 (II)]
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
If the area enclosed between the curves y=kx2 and x=ky2,(k>0), is 1 square unit. Then k is:
[Jan. 10, 2019 (I)]
If the area enclosed between the curves y=kx2 and x=ky2,(k>0), is 1 square unit. Then k is:
[Jan. 10, 2019 (I)]
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
The area of the region A={(x,y):0≤y≤x|x|+1 and −1≤x≤1} in sq. units is:
[Jan. 09, 2019 (II)]
The area of the region A={(x,y):0≤y≤x|x|+1 and −1≤x≤1} in sq. units is:
[Jan. 09, 2019 (II)]
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
The area (in sq. units) of the region A={(x,y)∈R×R|0d"xd"3,0d"yd"4,yd"x2+3x} is :
[April 8, 2019 (I)]
The area (in sq. units) of the region A={(x,y)∈R×R|0d"xd"3,0d"yd"4,yd"x2+3x} is :
[April 8, 2019 (I)]
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
If the area (in sq. units) of the region
{(x,y):y2≤4x, x+y≤1,x≥0,y≥0} is a√2+b, then a−b is equal to
[April 12, 2019 (I)]
If the area (in sq. units) of the region
{(x,y):y2≤4x, x+y≤1,x≥0,y≥0} is a√2+b, then a−b is equal to
[April 12, 2019 (I)]
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
If the area (in sq. units) bounded by the parabola y2=4λx and the line y=λx,λ>0, is
1
9
, then λ is equal to :
[April 12, 2019 (II)]
If the area (in sq. units) bounded by the parabola y2=4λx and the line y=λx,λ>0, is
1
9
, then λ is equal to :
[April 12, 2019 (II)]
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
The region represented by |x−y|≤2 and |x+y|≤2 is bounded by a :
[April 10, 2019(I)]
The region represented by |x−y|≤2 and |x+y|≤2 is bounded by a :
[April 10, 2019(I)]
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
The area (in sq. units) of the region bounded by the curves y=2x and y=|x+1|, in the first quadrant is :
[April 10, 2019(II)]
The area (in sq. units) of the region bounded by the curves y=2x and y=|x+1|, in the first quadrant is :
[April 10, 2019(II)]
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
The area (in sq. units) of the region A={(x,y):x2≤y≤x+2} is:
[April 9, 2019 (I)]
The area (in sq. units) of the region A={(x,y):x2≤y≤x+2} is:
[April 9, 2019 (I)]
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt
The area (in sq. units) of the region A={(x,y):
y2
2
≤x≤y+4} is:
[April 09, 2019 (II)]
The area (in sq. units) of the region A={(x,y):
y2
2
≤x≤y+4} is:
[April 09, 2019 (II)]
Q.42 Correct
Q.42 In-correct
Q.42 Unattempt
Let S(α)={(x,y):y2≤x,0≤x≤α} and A(α) is area of the region S(α). If for aλ,0<α<4,A(λ):A(α)=2:5, then λequals:
[April 08, 2019 (II)]
Let S(α)={(x,y):y2≤x,0≤x≤α} and A(α) is area of the region S(α). If for aλ,0<α<4,A(λ):A(α)=2:5, then λequals:
[April 08, 2019 (II)]
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt
Let g(x)=cos‌x2,f(x)=√x, and alpha,β(α<β) be the roots of the quadratic equation 18x2−9πx+π2=0. Then the area (in sq. units) bounded by the curve y=( gof )(x) and the lines x=α,x=β and y=0, is :
[2018]
Let g(x)=cos‌x2,f(x)=√x, and alpha,β(α<β) be the roots of the quadratic equation 18x2−9πx+π2=0. Then the area (in sq. units) bounded by the curve y=( gof )(x) and the lines x=α,x=β and y=0, is :
[2018]
Q.44 Correct
Q.44 In-correct
Q.44 Unattempt
If the area of the region bounded by the curves, y=x2,y=
1
x
 and the lines y=0 and x=t(t>1) is 1sq. unit, then t is equal to
[Online April 16, 2018]
If the area of the region bounded by the curves, y=x2,y=
1
x
 and the lines y=0 and x=t(t>1) is 1sq. unit, then t is equal to
[Online April 16, 2018]
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt
The area (in sq. units) of the region{x∈R:x≥0,y≥0,y≥x−2 and y≤√x}, is
[Online April 15, 2018]
The area (in sq. units) of the region{x∈R:x≥0,y≥0,y≥x−2 and y≤√x}, is
[Online April 15, 2018]
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt
The area (in sq. units) of the region {(x,y):x≥0,x+y≤3,x2≤4y and y≤1+√x} is
[2017]
The area (in sq. units) of the region {(x,y):x≥0,x+y≤3,x2≤4y and y≤1+√x} is
[2017]
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt
The area (in sq. units) of the smaller portion enclosed between the curves, x2+y2=4 and y2=3x, is:
[Online April 8, 2017]
The area (in sq. units) of the smaller portion enclosed between the curves, x2+y2=4 and y2=3x, is:
[Online April 8, 2017]
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt
The area (in sq. units) of the region {(x,y):y2≥2x and x2+y2≤4x,x≥0,y≥0} is:
[2016]
The area (in sq. units) of the region {(x,y):y2≥2x and x2+y2≤4x,x≥0,y≥0} is:
[2016]
Q.49 Correct
Q.49 In-correct
Q.49 Unattempt
The area (in sq. units) of the region described by A={(x,y)|y≥x2−5x+4, x+y≥1,y≤0} is:
[Online April 9, 2016]
The area (in sq. units) of the region described by A={(x,y)|y≥x2−5x+4, x+y≥1,y≤0} is:
[Online April 9, 2016]
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt
The area (in sq. units) of the region described by {(x,y):y2≤2x and y≥4x−1} is
[2015]
The area (in sq. units) of the region described by {(x,y):y2≤2x and y≥4x−1} is
[2015]
Q.51 Correct
Q.51 In-correct
Q.51 Unattempt
The area (in square units) of the region bounded by the curves y+2x2=0 and y+3x2=1, is equal to
[Online April 10, 2015]
The area (in square units) of the region bounded by the curves y+2x2=0 and y+3x2=1, is equal to
[Online April 10, 2015]
Q.52 Correct
Q.52 In-correct
Q.52 Unattempt
The area of the region described by A={(x,y):x2+y2≤1 and y2≤1−x} is:
[2014]
The area of the region described by A={(x,y):x2+y2≤1 and y2≤1−x} is:
[2014]
Q.53 Correct
Q.53 In-correct
Q.53 Unattempt
The area of the region above the x -axis bounded by the curve y=tan‌x,0≤x≤
π
2
 and the tangent to the curve atx=
π
4
 is:
[Online April 19, 2014]
The area of the region above the x -axis bounded by the curve y=tan‌x,0≤x≤
π
2
 and the tangent to the curve atx=
π
4
 is:
[Online April 19, 2014]
Q.54 Correct
Q.54 In-correct
Q.54 Unattempt
Let A={(x,y):y2≤4x,y−2x≥−4}. The area (in square units) of the region A is:
[Online April 9, 2014]
Let A={(x,y):y2≤4x,y−2x≥−4}. The area (in square units) of the region A is:
[Online April 9, 2014]
Q.55 Correct
Q.55 In-correct
Q.55 Unattempt
Let f:[−2,3]→[0,∞) be a continuous function such that f(1−x)=f(x) for all x∈[−2,3].
If R1 is the numerical value of the area of the region bounded by y=f(x),x=−2,x=3 and the axis of x andR2=
3
∫
−2
xf(x)dx, then :
[Online April 25, 2013]
Let f:[−2,3]→[0,∞) be a continuous function such that f(1−x)=f(x) for all x∈[−2,3].
If R1 is the numerical value of the area of the region bounded by y=f(x),x=−2,x=3 and the axis of x andR2=
3
∫
−2
xf(x)dx, then :
[Online April 25, 2013]
Q.56 Correct
Q.56 In-correct
Q.56 Unattempt
The area (in square units) bounded by the curves y=√x,2y−x+3=0,x -axis, and lying in the first quadrant is:
[2013]
The area (in square units) bounded by the curves y=√x,2y−x+3=0,x -axis, and lying in the first quadrant is:
[2013]
Q.57 Correct
Q.57 In-correct
Q.57 Unattempt
The area under the curve y=|cos‌x−sin‌x|,0≤x≤
π
2
,and above x -axis is :
[Online April 23, 2013]
The area under the curve y=|cos‌x−sin‌x|,0≤x≤
π
2
,and above x -axis is :
[Online April 23, 2013]
Q.58 Correct
Q.58 In-correct
Q.58 Unattempt
The area of the region (in sq. units), in the first quadrant bounded by the parabola y=9x2 and the lines x=0,y=1 and y=4, is:
[Online April 22, 2013]
The area of the region (in sq. units), in the first quadrant bounded by the parabola y=9x2 and the lines x=0,y=1 and y=4, is:
[Online April 22, 2013]
Q.59 Correct
Q.59 In-correct
Q.59 Unattempt
The area bounded by the curve y=ln(x) and the lines y=0,y=ln(c) and x=0 is equal to :
[Online April 9, 2013]
The area bounded by the curve y=ln(x) and the lines y=0,y=ln(c) and x=0 is equal to :
[Online April 9, 2013]
Q.60 Correct
Q.60 In-correct
Q.60 Unattempt
The area between the parabolas x2=
y
4
 and x2=9y and the straight line y=2 is:
[2012]
The area between the parabolas x2=
y
4
 and x2=9y and the straight line y=2 is:
[2012]
Q.61 Correct
Q.61 In-correct
Q.61 Unattempt
The area bounded by the parabola y2=4x and the line 2x−3y+4=0, in square unit, is
[Online May 26, 2012]
The area bounded by the parabola y2=4x and the line 2x−3y+4=0, in square unit, is
[Online May 26, 2012]
Q.62 Correct
Q.62 In-correct
Q.62 Unattempt
The area of the region bounded by the curve y=x3, and the lines, y=8, and x=0, is
[Online May 19, 2012]
The area of the region bounded by the curve y=x3, and the lines, y=8, and x=0, is
[Online May 19, 2012]
Q.63 Correct
Q.63 In-correct
Q.63 Unattempt
If a straight line y−x=2 divides the region x2+y2≤4 into two parts, then the ratio of the area of the smaller part to the area of the greater part is
[Online May 12, 2012]
If a straight line y−x=2 divides the region x2+y2≤4 into two parts, then the ratio of the area of the smaller part to the area of the greater part is
[Online May 12, 2012]
Q.64 Correct
Q.64 In-correct
Q.64 Unattempt
The area enclosed by the curves y=x2,y=x3, x=0 and x=p, where p>1, is 1∕6. The p equals
[Online May 12, 2012]
The area enclosed by the curves y=x2,y=x3, x=0 and x=p, where p>1, is 1∕6. The p equals
[Online May 12, 2012]
Q.65 Correct
Q.65 In-correct
Q.65 Unattempt
The parabola y2=x divides the circle x2+y2=2 into two parts whose areas are in the ratio
[Online May 7, 2012]
The parabola y2=x divides the circle x2+y2=2 into two parts whose areas are in the ratio
[Online May 7, 2012]
Q.66 Correct
Q.66 In-correct
Q.66 Unattempt
The area bounded by the curves y2=4x and x2=4y is:
[2011 RS]
The area bounded by the curves y2=4x and x2=4y is:
[2011 RS]
Q.67 Correct
Q.67 In-correct
Q.67 Unattempt
The area of the region enclosed by the curves y=x,x=e,y=
1
x
 and the positive x -axis is
[2011]
The area of the region enclosed by the curves y=x,x=e,y=
1
x
 and the positive x -axis is
[2011]
Q.68 Correct
Q.68 In-correct
Q.68 Unattempt
The area bounded by the curves y=cos‌x and y=sin‌x between the ordinates x=0 and x=
3π
2
 is
[2010]
The area bounded by the curves y=cos‌x and y=sin‌x between the ordinates x=0 and x=
3π
2
 is
[2010]
Q.69 Correct
Q.69 In-correct
Q.69 Unattempt
The area of the region bounded by the parabola (y−2)2=x−1, the tangent of the parabola at the point (2,3) and the x -axis is:
[2009]
The area of the region bounded by the parabola (y−2)2=x−1, the tangent of the parabola at the point (2,3) and the x -axis is:
[2009]
Q.70 Correct
Q.70 In-correct
Q.70 Unattempt
The area of the plane region bounded by the curves x+2y2=0 and x+3y2= lis equal to
[2008]
The area of the plane region bounded by the curves x+2y2=0 and x+3y2= lis equal to
[2008]
Q.71 Correct
Q.71 In-correct
Q.71 Unattempt
The area enclosed between the curves y2=x and y=|x| is
[2007]
The area enclosed between the curves y2=x and y=|x| is
[2007]
Q.72 Correct
Q.72 In-correct
Q.72 Unattempt
Let f(x) be a non − negative continuous function such that the area bounded by the curve y=f(x),x -axis and the ordinates x=
π
4
 and x=β>
π
4
 is
(β‌sin‌β+
π
4
‌cos‌β+√2β). Then f(
π
2
) is
[2005]
Let f(x) be a non − negative continuous function such that the area bounded by the curve y=f(x),x -axis and the ordinates x=
π
4
 and x=β>
π
4
 is
(β‌sin‌β+
π
4
‌cos‌β+√2β). Then f(
π
2
) is
[2005]
Q.73 Correct
Q.73 In-correct
Q.73 Unattempt
The area enclosed between the curve y=loge(x+e) and the coordinate axes is
[2005]
The area enclosed between the curve y=loge(x+e) and the coordinate axes is
[2005]
Q.74 Correct
Q.74 In-correct
Q.74 Unattempt
The parabolas y2=4x and x2=4y divide the square region bounded by the lines x=4,y=4 and the coordinate axes. If S1,S2,S3 are respectively the areas of these parts numbered from top to bottom; then S1:S2:S3 is
[2005]
The parabolas y2=4x and x2=4y divide the square region bounded by the lines x=4,y=4 and the coordinate axes. If S1,S2,S3 are respectively the areas of these parts numbered from top to bottom; then S1:S2:S3 is
[2005]
Q.75 Correct
Q.75 In-correct
Q.75 Unattempt
The area of the region bounded by the curves y=|x−2|,x=1,x=3 and the x -axis is
[2004]
The area of the region bounded by the curves y=|x−2|,x=1,x=3 and the x -axis is
[2004]
Q.76 Correct
Q.76 In-correct
Q.76 Unattempt
The area of the region bounded by the curves y=|x−1| and y=3−|x| is
[2003]
The area of the region bounded by the curves y=|x−1| and y=3−|x| is
[2003]
Q.77 Correct
Q.77 In-correct
Q.77 Unattempt
If y=f(x) makes +ve intercept of 2 and 0 unit on x and y axes and encloses an area of 3∕4 square unit with the axes then
2
∫
0
xf′(x)dx is
[2002]
If y=f(x) makes +ve intercept of 2 and 0 unit on x and y axes and encloses an area of 3∕4 square unit with the axes then
2
∫
0
xf′(x)dx is
[2002]
Q.78 Correct
Q.78 In-correct
Q.78 Unattempt
The area bounded by the curves y=ln‌x,y=ln|x|,y=|ln‌x| and y=|ln|x|| is
[2002]
The area bounded by the curves y=ln‌x,y=ln|x|,y=|ln‌x| and y=|ln|x|| is
[2002]
Get latest Exam Updates
& Study Material Alerts!
No, Thanks
Click on Allow to receive notifications
×
Open Now