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  • Question 1
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    If the direction ratios of two lines are (1, 2, 3) and (-2, 3, -4), Then the angle between the lines is:

  • Question 2
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    If A = {3, 9, 27, 81}, B = {1, 2, 3, 4, 5, 6} and R is a relation from A to B such that R = {(x, y) : x ∈ A, y ∈ B and y = log3 x} then find the range of R ?

  • Question 3
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  • Question 4
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  • Question 5
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    If 3x2 - 3y2 - 18x + 12y + 2 = 0 represents a hyperbola, find the equation of the directrix.

  • Question 6
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    The position vector of the point which divides the join of points  in the ratio 3 ∶ 1 is

  • Question 7
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  • Question 8
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  • Question 9
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  • Question 10
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    The function f(x) = (4x3 – 3x2)/6 – 2sin x + (2x – 1)cos x:

  • Question 11
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    If A =  is a symmetric matrix, then 3x + y is equal to?

  • Question 12
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  • Question 13
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    The value of c in Rolle’s theorem for the function f(x) = x3 – 3x in the interval [0, √3] is

  • Question 14
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  • Question 15
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    Find the value of k for which the equation x2 + 5kx + 16 = 0 has no real roots?

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