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  • Question 1
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    Area of the region bounded by y = cosx, x = 0, x = πand X-axis is ...sq. units.

  • Question 2
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    Let a: (p - r) (-q s) and b: (p ∨s) ↔(-q ∧r). If the truth values of p and q are true and that of r and s are false, then the truth values of a and b are, respectively...

  • Question 3
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    ∫logx[log(ex )] -2dx = ?

  • Question 4
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    If the scalar triple product of the vectors   is 272 then  λ= 

  • Question 5
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    The joint equation of lines passing through origin and having slopes (1 + √2) and   -1     is
                                                                     1 + √2  

  • Question 6
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    θ.dθ = ...

  • Question 7
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    If A and B are square matrices of order 3 such that |A| = 2, |B| = 4, then |A(adj B)| = ...

  • Question 8
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    The polar coordinatesThus, if of P are(2, π/6). If Q is the image of P about the X-axis, then the polar coordinates of Q are......

  • Question 9
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    Let X be the number of successes in 'n' independent Bernoulli trials with probability of success p = ¾, The least value of ‘n’ so that P(X 1) 0.9375 is .......

  • Question 10
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    Which of the following statement pattern is a tautology?

  • Question 11
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    In ΔABC, with the usual notations, if (tan A/2)(tan B/2) = ¾ then a + b = ...

  • Question 12
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  • Question 13
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    If f(x) is continuous at x = 3, where

    f(x) = ax +1, for x 3

    = bx + 3, for x > 3 then

  • Question 14
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    For any non zero vector, a,b,c

    a.[(b + c) x (a + b + c)] = ...

  • Question 15
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  • Question 16
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    The direction ratios of the normal to the plane passing through origin and the line of intersection of the planes x + 2y + 3z = 4 and 4x + 3y + 2z = 1 are .......

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