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Mathematics Test - 2

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Mathematics Test - 2
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Weekly Quiz Competition
  • Question 1
    1 / -0

    Which of the following statements regarding the three pairs of lines is/are correct?

    Solution

    option b is the correct answer.

  • Question 2
    1 / -0

    The differential equation of all non-horizontal lines in a plane is 

    Solution

  • Question 3
    1 / -0

    If three natural numbers between 1 and 100 are selected randomly, then the probability that all are divisible by both 2 and 3 is 

    Solution

  • Question 4
    1 / -0

    If the two pairs of lines x2 – 2mxy – y2 = 0 and x2 – 2nxy – y2 = 0 are such that one of them represents the bisector of the angles between the other, then

    Solution

  • Question 5
    1 / -0

    A man of 2 m height walks at a uniform speed of 6 km/h away from a lamp post of 6 m height. The rate at which the length of his shadow increases is

    Solution

  • Question 6
    1 / -0

    In how many ways can 8 students be arranged in a row?

    Solution

    Required number of ways = 8!

  • Question 7
    1 / -0

    If f(x) = | x |3, then f′(0) =

    Solution

  • Question 8
    1 / -0

    Let f(x) = [x], then f′(1) = ?

    Solution

  • Question 9
    1 / -0

    Let f(x) = x3/2, then f′(0) =

    Solution

  • Question 10
    1 / -0

    If f(x) = | x |, then f′(2) =

    Solution

  • Question 11
    1 / -0

    Let f(x + y) = f(x)f(y), for all x, y ∈ R. If f'(0) = 2 and f(4) = 4, then f'(4) is equal to

    Solution

  • Question 12
    1 / -0

    Solution

  • Question 13
    1 / -0

    Solution

  • Question 14
    1 / -0

    Solution

  • Question 15
    1 / -0

    Solution

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