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Mathematics Mock Test - 11

Medium 50 Questions 60 min0

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Question No: 1Difficulty: mediumMarks: 1mcq

If 2 f (x) + f (\frac{1}{x}) = lo g x, for all x > 0, then f (e^{x}) is:

Question No: 2Difficulty: mediumMarks: 1mcq

Find the principal value of cot^{- 1} (- \frac{1}{3}) .

Question No: 3Difficulty: mediumMarks: 1mcq

If Δ = 0 b - a c - a a - b 0 c - b a - c b - c 0, then Δ equals:

Question No: 4Difficulty: mediumMarks: 1mcq

Let f (x) = \frac{l o g ( 1 - x + x ^{2} ) + l o g ( 1 + x + x ^{2} )}{s e c x - c o s x} for x \neq = 0 . Then the value of f (0) so that f is continuous at x = 0 is:

Question No: 5Difficulty: mediumMarks: 1mcq

The equation of tangent to the curve x^{2/3} + y^{2/3} = a^{2/3} at (a, 0) passes through which of the following points?

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