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# Mathematics

## The area bounded by the parabola y2 = 4ax and straight line x + y = 3a isa)b)c)d)Correct answer is option 'D'. Can you explain this answer?

D
Laxmi Choudhary asked   •  51 minutes ago

## A series  converges, then sequence a)divergesb)converges to zeroc)converges to any numberd)None of the aboveCorrect answer is option 'B'. Can you explain this answer?

BHARTI SHAKYA asked   •  57 minutes ago

Laxmi Choudhary asked   •  58 minutes ago

## If n1/n —> 1 as n —> ∞, then the series a)convergesb)divergesc)neither converges nor divergesd)the test failsCorrect answer is option 'A'. Can you explain this answer?

Jitender Ahlawat asked   •  1 hour ago

## Which of the following(s) is/are correct?a)If A is unitary matrix, then A'is also unitary matrix.b)Inverse of unitary matrix is unitary matrix.c)Inverse of unitary matrix is diagonal matrix.d)None of theseCorrect answer is option 'A,B'. Can you explain this answer?

Mahalakshmi R asked   •  1 hour ago

## Which of the following(s) is/are correct?a)In a Skew — Hermitian Matrix, the element of the principle diagonal must be purely imaginary.b)If A is Hermitian Matrix, then iA is Skew — Hermitian Matrix.c)If A is any square matrix, then A — Aθ is Skew — Hermitian Matrix.d)All of the aboveCorrect answer is option 'B,C'. Can you explain this answer?

RUCHI KHANNA asked   •  1 hour ago

## Let Then,a) fxy (0,0) = fyx (0,0) = 0b)fxy(0,0) ≠ fyx(0, 0)c)fxy(0, 0) = fyx(0, 0) = 1d)None of the aboveCorrect answer is option 'B'. Can you explain this answer?

Prabahar Mamcet asked   •  1 hour ago

## Consider the following statement about the following p. d. e. p + q — pq = 0(i) it has no singular solutions (iv) It is a first order non — linear p. d. e. Then choose thecorrect code.a)Only (i) and (ii) trueb)Only (ii) and (iv) are truec)(ii), (iii) and (iv) are trued)All are trueCorrect answer is option 'D'. Can you explain this answer?

SANJAY GARG asked   •  2 hours ago

## If tanθ = a - (1/4a) then secθ - tanθ is equal toa)b)c)2ad)Correct answer is option 'A'. Can you explain this answer?

Mitali Majumder asked   •  3 hours ago

## Potential function φ is given as φ = x2 - y2. What will be the stream function (ψ) with the condition ψ = 0 at x = y = 0?a)2xyb)x2 + y2c)x2 - y2d)2x2y2Correct answer is option 'A'. Can you explain this answer?

Pravin Parmar asked   •  4 hours ago

## Let f : R → [0, ∞) be a continuous function. Then which one of the following is NOT TRUE ?a)b)c)d)Correct answer is option 'C'. Can you explain this answer?

Kilaparti Sekhar asked   •  5 hours ago

## If a sequence {xn} converge to x and xn > 0 for all n ∈ N, thena)x>0b)x≥0c)x≤0d)None of theseCorrect answer is option 'B'. Can you explain this answer?

Sakshi Jain asked   •  6 hours ago

## Which of the following is a solution of the differential equation a)(y - x)2 = 153b)(y - 2x)2 = 144c)(y - 3x)2 =153d)(y - 2x)2 = 153Correct answer is option 'D'. Can you explain this answer?

VISHWENDRA SINGH asked   •  6 hours ago

## What is the degree of the differential equation a)1b)2c)8d)cannot be determinedCorrect answer is option 'D'. Can you explain this answer?

Kilaparti Sekhar asked   •  6 hours ago

## Letf(x,y) = x3 + y3- 63 (x + y) + 12xy,thena)the function has three stationary pointsb)the function is minimum at (-7, -7)c)the function is maximum at (3, 3)d)the function has neither minimum nor a maximum at (5,-1)Correct answer is option 'D'. Can you explain this answer?

Swarna Ch asked   •  6 hours ago

## Three numbers are to be drawn without replacement from {1,2,.20}and every outcome is equally likely. If one of the selected numbers is 8,the probability that the sum of the three selected numbers is a multiple of 3 is. A) 1/5... more

A Great Mission asked   •  6 hours ago

## The number of elements of order 5 in a non-abelian group of order 10 isa)1b)5c)4d)8Correct answer is option 'C'. Can you explain this answer?

A Great Mission asked   •  6 hours ago

## Let W[y1(x), y2(x)] is the Wronskian formed for the solutions y1(x) and y2(x) of the differential equation y" + a1y' + a2y = 0. If W ≠ 0 for some x = x0 in [a, b] then a)It vanishes for any x ∈ [a, b]b)it does not vanish only at x = ac)it does not vanish for any x ∈ [a, b]d)it does not vanish only at x = bCorrect answer is option 'C'. Can you explain this answer?

Akhilesh Kumar asked   •  7 hours ago

## Let ∑un be a series of positive terms and let , then which among the following does not express the condition for the Cauchy’s nth root test?a) If l < 1, ∑un convergesb)If l > 1 , ∑un divergesc)If l = 1, the test fails and the series may either converge or diverged)If l = 0, the series neither converges nor divergesCorrect answer is option 'D'. Can you explain this answer?

A Great Mission asked   •  7 hours ago

## Letthen,a)f(x, y) is continuous at (0, 0)b)f(0, y) is discontinuous at (0, 0)c) f(x, 0) is continuous at (0 , 0)d)None of theseCorrect answer is option 'C'. Can you explain this answer?

Akshita Cheetamun asked   •  7 hours ago

## Let T:R2 -> R2 be the transformation T(x1,x2) = (x1,0). The null space (or kernel) N(T) of T isa)(x1,0) : x1 is realb)1c)(0,1)d)(0,x2) : x2 is realCorrect answer is option 'D'. Can you explain this answer?

Sonali Mane asked   •  7 hours ago

## Which of the following is not an equivalence relation in a)b)x - y is an irrational numberc)x - y is divisible by 3d)x - y is a perfect squareCorrect answer is option 'A,B,D'. Can you explain this answer?

Aakanksha Mishra asked   •  8 hours ago

## The values of the minors of the elements of the first row of the determinant  are respectivelya)2,7,11b)7,11,2c)11,2,7d)7 ,2 ,11Correct answer is option 'B'. Can you explain this answer?

Sahil Sharma asked   •  8 hours ago

## The value of  is equal to a)-63b)20c)-43d)None of theseCorrect answer is option 'C'. Can you explain this answer?

Nazir Jehan asked   •  8 hours ago

## If A - {x: f(x) = 0} and B = { x : g(x) = 0}, then A∩B will bea)b)c)d)None of theseCorrect answer is option 'A'. Can you explain this answer?

Abhilash Mishra asked   •  9 hours ago

## Let where  b1 = 1, b2 = 1 and bn+2 = bn + bn+1,  Then is:a)b)c)d)Correct answer is option 'D'. Can you explain this answer?

Reena Gulia asked   •  9 hours ago

## How many of the following matrices have an eigen value 1?and a)Oneb)Twoc)Threed)FourCorrect answer is option 'A'. Can you explain this answer?

Bibhas Chandra Mitra asked   •  9 hours ago

## (1+yz)dx+x(z-x)dy-(1+xy)dz=0 solve the equation. Related: Definitions, Basic concepts?

Jai Kishan Dubey asked   •  9 hours ago

## The value of   is a)1/53b)2/21c)1/6d)5/3Correct answer is option 'C'. Can you explain this answer?

Diksha Srivastava asked   •  9 hours ago

## Needed a Document for analyric geometry? Related: Algebra for IIT JAM Mathematics?

Nabakumar Das asked   •  10 hours ago

## Let M be the space of all 4 x 3 matrices with entries in the finite field of three elements. Then the number of matrices of Rank three In M isa)(34 - 3) (34 - 32)(34 - 33)b)(34 - 1)(34 - 2)(34 - 3)c)(34 - 1)(34 - 3) (34 - 32)d)34(34 - 1)(34 - 2)Correct answer is option 'C'. Can you explain this answer?

Nazir Jehan asked   •  10 hours ago

## The set of integer isa)ordered setb)non-ordered setc)set of irrational numbersd)does not statisfies principle of induction.Correct answer is option 'A'. Can you explain this answer?

Akhilesh Kumar asked   •  11 hours ago

## Consider the differential equation   be its general solution and u(x) = x3 then the value of v(x) at x=2 is, _________Correct answer is '0.125'. Can you explain this answer?

Deepika Aat asked   •  11 hours ago

## If e2x and xe2x are particular solutions of a second order homogeneous differential equation with constant coefficients, then the equation isa)b)c)d)Correct answer is option 'A'. Can you explain this answer?

Jineva Dolui asked   •  12 hours ago

## {u} and {v} are two Cauchy sequence. Prove that {uv} is a Cauchy sequence?

Jenifer Sebastin asked   •  12 hours ago

## Integral surface of (2x y — l)p + (z — 2x2)q = 2(x — yz) passing through the line x0 (s) = 1 y0(s) = 0 z0(s) = sa)x2 + y2 - yz - x + z = b)x2 + y2 - xz - y + z = 1c)x2 + y2 — xy — x + z = d)y2+ z2 — xy + z — x = lCorrect answer is option 'D'. Can you explain this answer?

Sonu Saini asked   •  13 hours ago

## A particular solution ofa)b)c)d)Correct answer is option 'C'. Can you explain this answer?

NEETU SAINI asked   •  13 hours ago

## The generators of the group G = {a, a2, a3, a4 = e} area)a onlyb)a and a2c)c and a3d)a and a4Correct answer is option 'C'. Can you explain this answer?

Priyanshu Rock Dp asked   •  13 hours ago

## Prove a cyclic group if the order of group is n and any elment of that group has order n?

Om Prakash Kumawat asked   •  13 hours ago

## If is given by T (x, y, z) = (x - y, y + 3z, x + 2y). Then T-1 isa)b)c)d)Correct answer is option 'A'. Can you explain this answer?

Mahima Jain asked   •  13 hours ago

## If G is a group, then for all a, b ∈ Ga)(ab) -1 = a-1b-1b)(ab) -1 = (b-1a-1)c)(ab) -1 = abd)(ab) -1 = baCorrect answer is option 'B'. Can you explain this answer?

Suman Mondal asked   •  14 hours ago

## If x + 2y - 2u = 0, 2x - y - u = 0, x + 2z - u = 0, 4x -y + 3 z - u= 0 is a system of equations, then it isa)consistent with trivial solutionb)consistent without trivial solutionc)inconsistent with trivial solutiond)inconsistent without trivial solutionCorrect answer is option 'A'. Can you explain this answer?

ASHIMA JAIN asked   •  14 hours ago

## If general solution of the differential equation ay",+ by"- cy’+ dy = 0 is linearly spanned by ex sin x and cos x, then which one of the following holds?a) a + b - c - d = 0b)a + b + c + d = 0c)a - b + c - d = 0d) a - b - c - d = 0Correct answer is option 'B'. Can you explain this answer?

SHEELU AGRAWAL asked   •  14 hours ago

## Let T be a linear transformation from a vector space into a vector space with U as finite dimensional. The rank of T is the dimension of thea)range of Tb)null space of Tc)vector space Ud)vector space VCorrect answer is option 'B'. Can you explain this answer?

Sonu Saini asked   •  16 hours ago

## All real solutions of the differential equation y" + 2ay' + by = cos x (where a and b are real constants) are periodic ifa)a = 1 and b = 0b)a = 0 and 6 = 1c)a = 1 and b ≠ 0 d) a = 0 and 6 ≠ 1Correct answer is option 'B'. Can you explain this answer?

Pranav Nampoothiry asked   •  16 hours ago

## Needed a Document for vector calculus? Related: Calculus for IIT JAM Mathematics?

Priyanshi asked   •  16 hours ago

## The multiplicative group {1, -1} is a subgroup of the multiplicative groupa){1, i, -i}b){1,-1, i, -i}c){1,0, -1, -i}d){-1, i, -i}Correct answer is option 'B'. Can you explain this answer?

A Great Mission asked   •  17 hours ago

## Let M be a skew symmetric orthogonal real Matrix. Then only possible eigenvalues area)- 1, 1b)- i, i c)0d)1, iCorrect answer is option 'B'. Can you explain this answer?

Vicky Kumar asked   •  20 hours ago

## If  then the value of  is _______ .Correct answer is '3'. Can you explain this answer?

Raju Kumar asked   •  20 hours ago

## Formula trignomatery?

KRISHNA SHAURYA asked   •  20 hours ago

## The generators of a group G = {a, a2, a3, a4, a5, a6 = e) ara)a and a5b)a2 and a4c)a3 and a5d)a2 and a3Correct answer is option 'B'. Can you explain this answer?

Nazir Jehan asked   •  20 hours ago

## The half interval [0, l) havea)maximal element onlyb)minimal element onlyc)maximal and minimal both elementd)no maximal and no minimal element.Correct answer is option 'B'. Can you explain this answer?

Anna Mathew asked   •  20 hours ago

## For n 6= m, Let T1 : R n â†’ R m and T2 : R m â†’ R 2 be linear transformations such that T1T2 is bijective. Then find the rank of T1 and T2. Related: Vector Spaces and Subspaces - Vector Algebra, CSIR-NET Mathematical Sciences?

Sudip Samanta asked   •  21 hours ago

## In a group G, aÂ²bÂ²=bÂ²aÂ² and aÂ³bÂ³=bÂ³aÂ³ hold for all a, bâ‚¬G. Prove that the group is abelian Related: Groups, Subgroups, Cyclic Groups and Permutation Groups - CSIR-NET Mathematical Sciences?

Mr Rehan asked   •  21 hours ago

## The sequence {xn}, where a)increasing but not boundedb)decreasing and boundedc)increasing and boundedd)decreasing but not boundedCorrect answer is option 'C'. Can you explain this answer?

Deepak Singh asked   •  21 hours ago

## Let f : (0, ∞ ) → R be a differentiable function such that f'(x2) = 1 - x3 for all x > 0 and f(1) = 0.Then f(4) equalsa)-47/5b)-47/10c)-16/5d)-8/5Correct answer is option 'A'. Can you explain this answer?

A Great Mission asked   •  21 hours ago

## If A and B are two matrices such that AB and BA both exist, then which is not corret?a)Eigenvalues of AB and BA are sameb)|AB| = |BA|c)Trace (AB) = Trace (BA)d)Rank (AB) = Rank (BA)Correct answer is option 'D'. Can you explain this answer?

Ruhi Sharma asked   •  22 hours ago

## Needed a Document for pesticides? Related: Algebra for IIT JAM Mathematics?

Sunidhi Singh asked   •  22 hours ago

## The sequence {xn}, where xn  converges toa)0b)1c)2/3d)None of theseCorrect answer is option 'C'. Can you explain this answer?

Aabha Jain asked   •  23 hours ago

## Let A = {1,2,3,4}, B = { 2,4,5 } and C = A ∩ B then number of symmetric relation on C isa)3b)8c)2d)4Correct answer is option 'B'. Can you explain this answer?

Curiosity With Wickedmin asked   •  yesterday

## ABCD is a parallelogram in which R is a point on diagonal AC such that R is mid point of EF where E is a point on BC and F is a point on CD and also EF parallel BD. prove that BE =FD?

Curiosity With Wickedmin asked   •  yesterday

## then a)both <bn > and Sbn are convergentb)both <bn > and Sbn are divergentc) <bn> is convergent but Sbn is notd) Sbn is convergent but < bn > is notCorrect answer is option 'C'. Can you explain this answer?

JAYESH KUMAR LABHU asked   •  yesterday

## If f(x) is differentiable on interval l and such that |f'(x)| ≤ a on l, then f(x) isa) Continuous but not uniformly continuous on lb)Uniformly continuous but not continuous on lc)Uniformly continuous but not differentiable on ld)Continuous, uniformly continuous and differentiable on lCorrect answer is option 'A'. Can you explain this answer?

GORDHAN LAL BISHNOI asked   •  yesterday