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GATE 2023 Engg. Mathematics Quiz 12

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Question 1

If a force  displaces a particle in the n-y plane from (0, 0) to (1, 4) along a curve y = 4x2

Find the work done.

Question 2

The function f(x) = |x| is

Question 3

Let f1(x) = ex and f2(x) = e-x be the two defined in [a, b], then by Cauchy’s MVT

Question 4

The solution of the differential equation  will represent family of curves

Question 5

The particular integral of is

Question 6

Let A be the matrix  with a, C ϵ R and C ≠ 0

Then there is a 2 × 2 matrix P such that PAP–1 is diagonal

Question 7

If for the given equations x + 2y – 3y = 1, (K + 2)z = 3, (2K + 1)y + 3 = 2 are inconsistent then the value of K is

Question 8

The value of there 'C' is the left half of the unit circle, is
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Jul 17ESE & GATE EC