GATE MA 2025 Paper 1 — page 10

Questions 28–30 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 10 of 22

Let

be the unique polynomial of degree

satisfying the Legendre differential equation

Then, the value of

is equal to _____ (in integer)

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Let

be a unit vector parallel to the tangent at the point

to the curve of intersection of the surfaces

and

. Then, the absolute value of the directional derivative of

in the direction of

is _____ (in integer)

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The volume of the region bounded by the cylinders

and

is _____ (rounded off to TWO decimal places)

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

2025 · Paper 1