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ISRO ME 2019 Engineering Mathematics Booster Quiz -3

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Question 1

Value of the integral I =   is

Question 2

The parabolas divide the square region bounded by the lines x = 4, y = 4 and the coordinate axes. If S1, S2 and S3 are respectively the areas of these parts numbered from top to bottom; then S1: S2: S3 is

Question 3

Question 4

The solution of the differential equation y dx + (x + x2y) dy = 0 is

Question 5

Let A be a 3 x 3 real matrix with eigen values 1, 2, 3 and let B = A-1 + A2, then the trace of B is _________.

Question 6

A pair of fair dice is thrown independently three times. The probability of getting a score of exactly '9' twice is

Question 7

Match list 1 with list 2

Method-list 1 Formulae-list 2

Question 8

If and the angle between  and is then is equal to _____.

Question 9

The given differential equation will be exact if:

Question 10

Let I where x, y, z are real, and let C be the straight line segment from point A : (0, 2,1) to point B : (4,1, -1). The value of I is _____.
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