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Mathematics Mock Test - 9

Medium 50 Questions 49 min 50 marks 1 attempts

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49 min · 50 marks · Full test mode with leaderboard

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Question No: 26Difficulty: mediumMarks: 1mcqAnswered correctly: 0%

For what value of λ, the equations 7 x - 5 y + 3 = 0, 2 x + 3 y = 8 and 4 x - 6 y + λ = 0 are consistent?

Question No: 27Difficulty: mediumMarks: 1mcqAnswered correctly: 0%

If the vertices A, B, C of a triangle A BC are (1, 1, 3), (- 1, 0, 0), (0, 1, 2) respectively, then determine ∠ A BC .

Question No: 28Difficulty: mediumMarks: 1mcqAnswered correctly: 0%

Extract all possible values of b for which the function f (x) = {7 x - x^{3} + lo g (b^{2} - 4 b + 4), x - 9, 0 \leq x < 3 x \geq 3 has local maxima at x = 3 :

Question No: 29Difficulty: mediumMarks: 1mcqAnswered correctly: 0%

The number of real values of α for which the system of equations x + 3 y + 5 z = αx, 5 x + y + 3 z = α y, 3 x + 5 y + z = α z has an infinite number of solutions is:

Question No: 30Difficulty: mediumMarks: 1mcqAnswered correctly: 0%

Let A = 2 b 1 b b^{2} + 1 b 1 b 2 where b > 0 . Then the minimum value of \frac{d e t ( A )}{b} is:

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