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Mathematics Mock Test - 8

Medium 50 Questions 49 min 50 marks 2 attempts

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49 min · 50 marks · Full test mode with leaderboard

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Question No: 46Difficulty: mediumMarks: 1mcqAnswered correctly: 0%

Find the projection of the vector a = 2 \hat{i} + 3 \hat{j} + 2 \hat{k} on the vector b = \hat{i} + 2 \hat{j} + \hat{k} .

Question No: 47Difficulty: mediumMarks: 1mcqAnswered correctly: 50%

If the lines given by 3 x + 2 k y = 2 and 2 x + 5 y + 1 = 0 are parallel, then the value of k is:

Question No: 48Difficulty: mediumMarks: 1mcqAnswered correctly: 50%

Find the image of the point (- 2, 1, 1) in the plane x + y + z = 0 .

Question No: 49Difficulty: mediumMarks: 1mcqAnswered correctly: 0%

If cos^{- 1} x + cos^{- 1} y + cos^{- 1} z + cos^{- 1} t = 4 π, then the value of x^{2} + y^{2} + z^{2} + t^{2} is:

Question No: 50Difficulty: mediumMarks: 1mcqAnswered correctly: 0%

The value of cos (2 tan^{- 1} (- 7)) is:

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