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  • Question 1
    1 / -0

    Let \(m\) and \(n(m

  • Question 2
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    Let f : R be a differentiable function and f(1) = 4. Find the value of 

  • Question 3
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    A missile fired from the ground level rises x meters vertically upwards in t seconds, where x = 100t - 25/2 t2. The maximum height reached is

  • Question 4
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    If \(\tan {A}-\tan {B}={x}\) and \(\cot {B}-\cot {A}={y}\), then what is the value of \(\cot ({A}-{B}) ?\)

  • Question 5
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    The differential equation of all non - horizontal lines in a plane is 

  • Question 6
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    If three natural numbers between 1 and 100 are selected randomly, then the probability that all are divisible by both 2 and 3 is 

  • Question 7
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    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

  • Question 8
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    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

  • Question 9
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    In how many ways can 8 students be arranged in a row?

  • Question 10
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    If f(x) = | x |3, then f′(0) =

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