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  • Question 1
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    The marks of some students were listed out of 75. The SD of marks was found to be 9. Subsequently the marks were raised to a maximum of 100 and variance of new marks was calculated. The new variance is

  • Question 2
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    Let A, B, C be three events. If the probability of occurring exactly one event out of A and B is 1– a, out of B and C is 1– 2a and out of C and A is 1 – a, and that of occurring three events simultaneously is a2, then the probability that at least one out of A, B, C will occur is

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  • Question 5
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    If B is an idempotent matrix, and A = I – B, then

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  • Question 7
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    If g is the inverse function of f and f '(x) = sin x, then g '(x) is

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  • Question 9
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  • Question 10
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    What is the area of the parabola y² = 4bx bounded by its latus rectum?

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