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Mathematics Test - 4
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  • Question 1/10
    5 / -1
    Which one of the following statements is correct?
  • Question 2/10
    5 / -1

    Find the set of value of x for which f(x) = tan-1 x is increasing in

  • Question 3/10
    5 / -1
    The points on the curve y3 + 3x2 = 12y where the tangent is vertical, is (are)
  • Question 4/10
    5 / -1

    If f(x) is an increasing function and g(x) is a decreasing function such that gof(x) is defined, then gof(x) will be

  • Question 5/10
    5 / -1
    The angle of intersection of the curves y = x2 and x = y2 at (1, 1)
  • Question 6/10
    5 / -1
    For the given curve: y = 2x – x2, when x increases at the rate of 3 units/sec, then how the slope of curve changes?
  • Question 7/10
    5 / -1
    If y = 4x - 5 is tangent to the curve y2 = px3 + q at (2, 3), then
  • Question 8/10
    5 / -1
    If the tangent to the curve y = x3 + ax - b at the point (1, -5) is perpendicular to the line -x + y + 4 = 0, then which one of the following points lies on the curve
  • Question 9/10
    5 / -1
    If the normal to the curve y = f(x) at the point (3, 4) makes an angle \(\frac{3 \pi}{4}\) with the positive x-axis then f'(3) is equal to
  • Question 10/10
    5 / -1
    If the function f(x) = x2 - kx is monotonically increasing in the interval (1, ∞), then which one of the following is correct?
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