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  • Question 1
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    India plays two matches each with West Indies and Australia. In any match, the probabilities of India getting points 0, 1 and 2 are 0.45, 0.05 and 0.50 respectively. Assuming that the outcomes are independent, the probability of India getting atleast 7 points is

  • Question 2
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    Find the area of the region(in square units) bounded by the two parabolas y = x2 and y2 = x.

  • Question 3
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    Let f : R be a differentiable function and f(1) = 4. Find the value of

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  • Question 5
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  • Question 6
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    The cartesian equation of a line \(\mathrm{AB}\) is \(\frac{2 x-1}{\sqrt{3}}=\frac{y+2}{2}=\frac{z-3}{3}\)
    Find the direction cosines of a line parallel to \(\mathrm{AB}\).

  • Question 7
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    Out of 40 consecutive integers, two are chosen at random. The probability that their sum is odd is

  • Question 8
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  • Question 9
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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 10
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    A man of height 2m walks at a uniform speed of 5km/hr away from a lamp post which is 6m high. Find the rate at which the length of his shadow increases.

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