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  • Question 1
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    Fifteen coupons are numbered 1, 2, 3, ....., 15 respectively. Seven coupons are selected at random one at a time with replacement. The  probability that the largest number appearing on a selected coupons is at most 9, is :

  • Question 2
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    Find the value(s) of the parameter 'a'(a>0) for each of which the area of the figure bounded by the straight line,  the parabola  is the greatest

  • Question 3
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  • Question 4
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    The parameter on which the value of the determinant


    does not depend upon, is

  • Question 5
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    If n is even positive integer, then the condition that the greatest term in the expansion of (1 + x)n may have the greatest coefficient also is

  • Question 6
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    The equation of the common tangent to the curves y⁡2 = 8 x and xy ⁡= -1 is

  • Question 7
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    If ABC be a triangle with  and AB = x such that (AB) (AC) = 1. If x varies, then the longest possible length of the angle bisector AD is

  • Question 8
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    The locus of the midpoint of the portion of the line x cos α + y sin α = p intercepted between the axes is

  • Question 9
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    Find the derivative with respect to x of the function :

  • Question 10
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    A lady wants to select one cotton saree and one polyester saree from a textile shop. If there are 10 cotton varieties and 12 polyester varieties, in how many ways can she choose the two sarees ?

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