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Mathematics Mock Test - 10

Medium 50 Questions 49 min 50 marks 10 attempts

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49 min · 50 marks · Full test mode with leaderboard

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Question No: 6Difficulty: mediumMarks: 1mcqAnswered correctly: 15%

If y = (1 + x) (1 + x^{2}) (1 + x^{4}) \dots (1 + x^{2 n}), then the value of \frac{d y}{d x} at x = 0 is:

Question No: 7Difficulty: mediumMarks: 1mcqAnswered correctly: 0%

If the system of linear equations x + 2 a y + a z = 0, x + 3 b y + b z = 0 and x + 4 cy + cz = 0 has a non-zero solution, then:

Question No: 8Difficulty: mediumMarks: 1mcqAnswered correctly: 8%

The inverse of the function f (x) = \frac{1 0 ^{x} - 1 0 ^{- x}}{1 0 ^{x} + 1 0 ^{- x}} is:

Question No: 9Difficulty: mediumMarks: 1mcqAnswered correctly: 0%

The value of a so that f (x) = sin x - cos x - a x + b decreases for all real values of x is given by:

Question No: 10Difficulty: mediumMarks: 1mcqAnswered correctly: 15%

If f (x) = lo g_{x} (lo g x), then f^{'} (x) at x = e is:

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