PYQs Based test 26: Engineering Mathematics

Topics Covered

Sample Questions from this Test

1. The matrix A = ≤ft[ {*20c 3/2&0&1/2\\ 0& - 1&0\\ 1/2&0&3/2 } ] has three distinct Eigen values and one of its Eigen vectors is ≤ft[ {*20c 1\\ 0\\ 1 } ]. Which one of the following can be another Eigen vector of A?
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2. Let y² – 2y + 1 = x and $\sqrt{x}+y=5$. The value of $x+\sqrt{y}$ equals ________. (Give the answer up to three decimal places)
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3. If f = 2x³ + 3y² + 4z, the value of line integral $\underset{C}{\int }\mathrm{gradf}.\mathrm{dr}$ evaluated over contour C formed by the segments (-3, -3, 2) → (2, -3, 2) → (2, 6, 2) → (2, 6, -1) is ________.
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Test Instructions

• The test contains 20 questions and a total of 32 marks.
• You will have 180 minutes to complete the test. The timer cannot be paused once started.
• Negative marking: 0.25 mark(s) deducted per wrong answer.
• Use the question palette to mark questions for review and navigate freely.
• Detailed solutions and analytics are available immediately after submission.
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