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If x^3+4x-8=0 then x^7+64x^2+2=?
If α and β are the roots of the equation x2+x+1=0 then find the quadratic equation having roots
Given equation
x^2+x+1=0
α+β=-1& αβ=1
α+1/α=-1
α^3+1/α^3 =(-1)^3-3(-1)=2
α^3+β^3=2
eq can be written as x2-2x+1=0
In the given figure, PQRS is a square of side 12 cm. A line RT is drawn in as shown in figure. If diameter of smaller circle is 6cm, then find the diameter of the bigger circle ?
I and O are respectively the incentre and circumcentre of a triangle ABC.The line AI produced intersects the circumcircle of ∆ ABC at the point D.
If ∠ABC = x°, ∠BID = y° and ∠BOD = z° then (z+x)/2y =?
∠ABC=x, ∠BID=y, ∠BOD=z
I is the incenter
IB will be angle bisector
∠ABI= ½ ∠ABC= x/2
O is circum center of ∆ABC
∠BAD= ½ ∠BOD = z/2
Now in ∆ABI
y=x/2+z/2=(x+z)/2y=1
If the sides of each square is 20cm. find the area for shaded region?
In the given figure, AO=CD where O is the center of the circle what is ∠ APB equal to?
OC=OD=OA=CD=r
∆OCDis an equilateral triangle
∠OCD=∠ODC=∠COD=60
& ∠ACB=90
Now angles made by same arc CD
∠CBD = ½ x ∠COD = ½ x 60 = 30
In PCB
∠APB = 180 – 90 – 30 = 60
The elevation of the top of a tower from a point on the ground is 45°. On travelling 120 m from the point towards the base of tower, the elevation of the top becomes 60°. The height of the tower (in m) is :-
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