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Math - 2017 Past Year Paper - IIT JAM MCQ


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30 Questions MCQ Test - Math - 2017 Past Year Paper

Math - 2017 Past Year Paper for IIT JAM 2024 is part of IIT JAM preparation. The Math - 2017 Past Year Paper questions and answers have been prepared according to the IIT JAM exam syllabus.The Math - 2017 Past Year Paper MCQs are made for IIT JAM 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Math - 2017 Past Year Paper below.
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Math - 2017 Past Year Paper - Question 1

Consider the function f(x, y) = 5 – 4 sin x + y2 for 0 < x < 2p and y ∈ R. The set of critical points of f(x, y) consists of

Math - 2017 Past Year Paper - Question 2

Let φ : R → R be a differentiable function such that φ' is strictly increasing with φ(1) = 0. Let a and b denote the minimum and maximum values of φ(x) on the interval [2, 3], respectively.
Then which one of the following is TRUE ?

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Math - 2017 Past Year Paper - Question 3

The number of generators of the additive group Z36 is equal to

Math - 2017 Past Year Paper - Question 4

Math - 2017 Past Year Paper - Question 5

Let f : R → R be a twice differentiable function. If g(u, v) = f(u2 – v2), then

Math - 2017 Past Year Paper - Question 6

Math - 2017 Past Year Paper - Question 7

Let f1(x), f2(x), g1(x), g2(x) be differentiable functions on R.   be the determinent of the matrix   . Then F'(x) is equal to 

Math - 2017 Past Year Paper - Question 8

Then which one of the following is TRUE ?

Math - 2017 Past Year Paper - Question 9

Math - 2017 Past Year Paper - Question 10

satisfies the assumptions of Rolle’s theorem in the interval [–1, 1], then the ordered pair (p, q) is

Math - 2017 Past Year Paper - Question 11

The flux of the vector field

along the outward normal, across the ellipse x2 + 16y2 = 4 is equal to

Math - 2017 Past Year Paper - Question 12

Let M be the set of all invertible 5 × 5 matrices with entries 0 and 1. For each 

and n0(M) denote the number of 1’s and 0’s in M, respectively. Then

Math - 2017 Past Year Paper - Question 13

Math - 2017 Past Year Paper - Question 14

Math - 2017 Past Year Paper - Question 15

The line integral of the vector field 

along the boundary of the triangle with vertices (1,0,0), (0,1,0) and (0,0,1), oriented anticlockwise, when viewed from the point (2,2,2) is

Math - 2017 Past Year Paper - Question 16

The area of the surface z = xy/3 intercepted by the cylinder x2 + y2  ≤ 16 lies in the interval

Math - 2017 Past Year Paper - Question 17

be the circle oriented anti- clockwise. Then

Math - 2017 Past Year Paper - Question 18

The flux of  along the outward normal, across the surface of the solid is equal to

 

Math - 2017 Past Year Paper - Question 19

Math - 2017 Past Year Paper - Question 20

Let f : R → [0, ∞) be a continuous function. Then which one of the following is NOT TRUE ?

Math - 2017 Past Year Paper - Question 21

The interval of convergence of the power series 

Math - 2017 Past Year Paper - Question 22

Let P3 denote the real vector space of all polynomials with real coefficients of degree at most 3. Consider the map T : P→ P3 given by 

Math - 2017 Past Year Paper - Question 23

Let f(x, y) =   for (x, y) ≠ (0, 0). Then

Math - 2017 Past Year Paper - Question 24

Let S be an infinite subset of R such that S\{a} is compact for some α ∈ S. Then which one of the following is TRUE ?

Math - 2017 Past Year Paper - Question 25

Math - 2017 Past Year Paper - Question 26

Then which one of the followings is NOT TRUE ?

Math - 2017 Past Year Paper - Question 27

Math - 2017 Past Year Paper - Question 28

Which one of the following is TRUE ?

Math - 2017 Past Year Paper - Question 29

A particular integral of the differential equation 

Math - 2017 Past Year Paper - Question 30

Let y(x) be the solution of the differential equation

satisfying y(0) = 1. Then y(–1) is equal to

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