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  • Question 1
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    The length of the diameter of the circle which touches the x-axis at the point (1, 0) and passes through the point (2, 3) is

  • Question 2
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    If n is a positive integer, then (√3 + 1 )^2n - (√3 - 1 )^2n is

  • Question 3
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  • Question 4
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    The equation e^(sin x) – e^(–sin x) – 4 = 0 has

  • Question 5
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    The equation of the circle passing through the foci of the ellipse x^2 /16 + y^2 /9 = 1, and having centre at (0, 3) is

  • Question 6
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    Three numbers are chosen at random without replacement from {1, 2, 3, ...... 8}. The probability that their minimum is 3, given that their maximum is 6, is

  • Question 7
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    Consider :Statement − I : (p ∧ ~ q) ∧ (~ p ∧ q) is a fallacy.Statement − II : (p → q) ↔ (~ q → ~ p) is a tautology.

  • Question 8
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    If f: R → R is a function defined by f(x) = [x] cos [(2x - 1)/2]π, where [x] denotes the greatest integer function, then f is

  • Question 9
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    If the lines (x - 1)/2 = (y + 1)/3 = (z - 1)/4 and (x - 3)/1 = (y - k)/2 = z/1 intersect, then k is equal to

  • Question 10
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