BHARTI SHAKYA asked • 57 minutes ago

- a)1/2
- b)1/3
- c)1/4
- d)1

Correct 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 these

Correct 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 — A
^{θ}is Skew — Hermitian Matrix. - d)All of the above

Correct answer is option 'B,C'. Can you explain this answer?

RUCHI KHANNA asked • 1 hour ago

If A - {a, b, c} and R - {(a, a), (a, b) ( b, c), (b, b), (c, c), (c, a)} is a binary relation on A, then which one of the following is correct?

- a)R is reflexive and symmetric, but not transitive
- b)R is reflexive and transitive, but not symmetric
- c)R is reflexive, but neither symmetric nor transitive
- d)R is reflexive, symmetric and transitive

Correct answer is option 'C'. 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 the

correct code.

(i) it has no singular solutions

(iv) It is a first order non — linear p. d. e. Then choose the

correct code.

- a)Only (i) and (ii) true
- b)Only (ii) and (iv) are true
- c)(ii), (iii) and (iv) are true
- d)All are true

Correct answer is option 'D'. Can you explain this answer?

Kilaparti Sekhar asked • 6 hours ago

Let

f(x,y) = x^{3} + y^{3}- 63 (x + y) + 12xy,

then

f(x,y) = x

then

- a)the function has three stationary points
- b)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?

A Great Mission asked • 6 hours ago

Let W[y_{1}(x), y_{2}(x)] is the Wronskian formed for the solutions y_{1}(x) and y_{2}(x) of the differential equation y" + a_{1}y' + a_{2}y = 0. If W ≠ 0 for some x = x_{0} in [a, b] then

- a)It vanishes for any x ∈ [a, b]
- b)it does not vanish only at x = a
- c)it does not vanish for any x ∈ [a, b]
- d)it does not vanish only at x = b

Correct answer is option 'C'. Can you explain this answer?

Akhilesh Kumar asked • 7 hours ago

Let ∑u_{n} 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, ∑u
_{n}converges - b)If l > 1 , ∑u
_{n}diverges - c)If l = 1, the test fails and the series may either converge or diverge
- d)If l = 0, the series neither converges nor diverges

Correct answer is option 'D'. Can you explain this answer?

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 is

- a)(3
^{4}- 3) (3^{4}- 3^{2})(3^{4}- 3^{3}) - b)(3
^{4}- 1)(3^{4}- 2)(3^{4}- 3) - c)(3
^{4}- 1)(3^{4}- 3) (3^{4}- 3^{2}) - d)3
^{4}(3^{4}- 1)(3^{4}- 2)

Correct answer is option 'C'. Can you explain this answer?

Jineva Dolui asked • 12 hours ago

Jenifer Sebastin asked • 12 hours ago

Integral surface of (2x y — l)p + (z — 2x^{2})q = 2(x — yz) passing through the line x_{0} (s) = 1 y_{0}(s) = 0 z_{0}(s) = s

- a)x
^{2}+ y^{2}- yz - x + z = - b)x
^{2}+ y^{2}- xz - y + z = 1 - c)x
^{2}+ y^{2}— xy — x + z = - d)y
^{2}+ z^{2}— xy + z — x = l

Correct answer is option 'D'. 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 is

- a)consistent with trivial solution
- b)consistent without trivial solution
- c)inconsistent with trivial solution
- d)inconsistent without trivial solution

Correct 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 e^{x} sin x and cos x, then which one of the following holds?

- a)a + b - c - d = 0
- b)a + b + c + d = 0
- c)a - b + c - d = 0
- d)a - b - c - d = 0

Correct answer is option 'B'. Can you explain this answer?

Sneha Mote asked • yesterday

Two finite sets m and n elements. The total number of subsets of the first set is 56 more than the total number of subsets of the second set. Then the values of m and n are respectively.

- a)8,5
- b)6,3
- c)4,1
- d)none of these

Correct answer is option 'B'. Can you explain this answer?

Shikha Pradhan asked • yesterday

Let a_{1} = b_{1} = 0, and for each n ≥ 2, let a_{n} and b_{n} be real numbers given by

Then which one of the following is TRUE about the sequences {a_{n}} and {b_{n}}?

- a)Both {a
_{n}} and {b_{n}} are divergent - b){a
_{n}} is convergent and {b_{n}} is divergent - c){a
_{n}} is divergent and {b_{n}} is convergent - d)Both {a
_{n}} and {b_{n}} are convergent

Correct answer is option 'D'. Can you explain this answer?

Curiosity With Wickedmin asked • yesterday

Let H = Z_{2} x Z_{6} and K = Z_{2} x Z_{4}, then

- a)H is isomorphic to K, since both are cyclic.
- b)H is isomorphic to K since 2 divides 6 and gcd(3,4) = 1
- c)H is not isomorphic to K, since K is cyclic where as H is number.
- d)H is not isomorphic to K, since there is no homomorphism from H to K.

Correct answer is option 'C'. Can you explain this answer?

HIRAL THAKAR asked • yesterday

Consider the following statements:

1. A group of order 289 is abelian.

2. In S_{3} there are four elements satisfying x^{2}= e and six elements satisfying y^{3} = e.

3. Every proper subgroup of S_{3} is cyclic.

4. (Z_{30}, has 4 subgroups of order 15 .

Correct statements are:

1. A group of order 289 is abelian.

2. In S

3. Every proper subgroup of S

4. (Z

Correct statements are:

- a)l and 4
- b)1 ,3 and 4
- c)1 and 2
- d)1 and 3

Correct answer is option 'D'. 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) is

- a)Continuous but not uniformly continuous on l
- b)Uniformly continuous but not continuous on l
- c)Uniformly continuous but not differentiable on l
- d)Continuous, uniformly continuous and differentiable on l

Correct answer is option 'A'. Can you explain this answer?

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