Math - 2017 Past Year Paper - IIT JAM MCQ
30 Questions MCQ Test IIT JAM Past Year Papers and Model Test Paper (All Branches) - Math - 2017 Past Year Paper
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
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 ?
Then which one of the following is TRUE ?
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The number of generators of the additive group Z36 is equal to
Let f : R → R be a twice differentiable function. If g(u, v) = f(u2 – v2), then
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
Then which one of the following is TRUE ?
satisfies the assumptions of Rolle’s theorem in the interval [–1, 1], then the ordered pair (p, q) is
The flux of the vector field
along the outward normal, across the ellipse x2 + 16y2 = 4 is equal to
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
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
The area of the surface z = xy/3 intercepted by the cylinder x2 + y2 ≤ 16 lies in the interval
The flux of 
along the outward normal, across the surface of the solid is equal to
Let f : R → [0, ∞) be a continuous function. Then which one of the following is NOT TRUE ?
Let P3 denote the real vector space of all polynomials with real coefficients of degree at most 3. Consider the map T : P3 → P3 given by 
for (x, y) ≠ (0, 0). ThenLet 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 ?
Let y(x) be the solution of the differential equation
satisfying y(0) = 1. Then y(–1) is equal to
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29 docs|48 tests
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29 docs|48 tests
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