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Mathematics Test - 38
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  • Question 1/10
    5 / -1

    Given, f(x) = x3 – 12x2 + 45x + 8. What is the minimum value of f(x)?

  • Question 2/10
    5 / -1

    A particle is moving in a straight line and its distance x from a fixed point on the line at any time t seconds is given by, x = t4/12 – 2t3/3 + 3t2/2 + t + 15. At what time is the velocity minimum?

  • Question 3/10
    5 / -1

    Given, f(x) = x3 – 12x2 + 45x + 8. At which point does f(x) has its maximum?

  • Question 4/10
    5 / -1

    Given, f(x) = x3 – 12x2 + 45x + 8. At which point does f(x) has its minimum?

  • Question 5/10
    5 / -1

    At which point does f(x) = |x – 1| has itslocal minimum?

  • Question 6/10
    5 / -1

    A particle is moving in a straight line and its distance x from a fixed point on the line at any time t seconds is given by, x = t4/12 – 2t3/3 + 3t2/2 + t + 15. What is the minimum velocity?

  • Question 7/10
    5 / -1

    What will be the equation of the normal to the parabola y2 = 5x that makes an angle 45° with the x axis?

  • Question 8/10
    5 / -1

    What will be the equation of the normal to the parabola y2 = 3x which is perpendicular to the line y = 2x + 4?

  • Question 9/10
    5 / -1

    What will be the equation of the circle which touches the line x + 2y + 5 = 0 and passes through the point of intersection of the circle x2 + y2 = 1 and x2 + y2 + 2x + 4y + 1 = 0?

  • Question 10/10
    5 / -1

    If the curves x2/a + y2/b = 1 and x2/c + y2/d = 1 intersect at right angles, then which one is the correct relation?

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