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Mathematics Test 13
Result
Mathematics Test 13

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  • Question 1/10
    4 / -1

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  • Question 2/10
    4 / -1

    Solutions

     

  • Question 3/10
    4 / -1

    If m be the slope of a tangent to the curve e2y = 1 + 4x2, then -

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  • Question 4/10
    4 / -1

    The curve y – exy + x = 0 has a vertical tangent at

    Solutions

  • Question 5/10
    4 / -1

    The number of values of c such that the straight line 3x + 4y = c touches the curve 

    Solutions

  • Question 6/10
    4 / -1

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  • Question 7/10
    4 / -1

    Let f : R → R, g : R →R be continuous functions. Then the value of integral

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  • Question 8/10
    4 / -1

    For the roots of the equation a – bx – x2 = 0; (a> 0, b > 0) which statement is true-

    Solutions

    Let roots are α and β then from equation 
    – x2 – bx + a = 0 
    we have αβ = – a < 0 => Both roots must be of oppsite sign 
    both the roots are in opposite sign and 
    α + β = – b
    ⇒ both roots are in opposite sign and greater root in magnitude is negative

  • Question 9/10
    4 / -1

    The area of the pentagon whose vertices are (4, 1), (3, 6), (–5, 1), (–3, –3) and (–3, 0) is-

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  • Question 10/10
    4 / -1

    On the portion of the straight line x + y – 7 = 0 which is intercepted between the axes a square is constructed on the side of the line away from the origin. Then the equation to the diagonals are -

    Solutions

     

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