NDA (National Defence Academy) Mathematics: Questions 305 - 311 of 384

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Question number: 305

» Matrices and Determinants » Adjoint and Inverse of a Square Matrix

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Appeared in Year: 2012

MCQ▾

Question

If is a square matrix such that where is the identity matrix, then what ia equal to?

Choices

Choice (4) Response

a.

A

b.

c.

Transpose of

d.

Null matrix

Question number: 306

» Matrices and Determinants » Operations on Matrices Determinant of a Matrix,

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Appeared in Year: 2012

MCQ▾

Question

If a matrix has inverse and then which one of the following is correct?

Choices

Choice (4) Response

a.

May not be equal to

b.

Should be equal to

c.

And should be unit matrices

d.

None of the above

Question number: 307

» Matrices and Determinants » Operations on Matrices Determinant of a Matrix,

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MCQ▾

Question

Let,

Then, What is the value of

Choices

Choice (4) Response

a.

0

b.

33

c.

35

d.

13

Question number: 308

» Differential Calculus » Derivatives of Sum

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MCQ▾

Question

If then what is equal to?

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 309

» Algebra » Geometric and Harmonic Progressions

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Appeared in Year: 2012

MCQ▾

Question

If the sequence is a geometric progression and then what is the value of ?

Choices

Choice (4) Response

a.

Cannot be determined

b.

5

c.

3

d.

1

Question number: 310

» Trigonometry » Angles and Their Measures in Degrees and in Radians

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MCQ▾

Question

The actuate angle which the perpendicular from origin on the line makes with the is

Choices

Choice (4) Response

a.

Negative

b.

Possitive

c.

d.

All of the above

Question number: 311

» Vector Algebra » Scalar Product or Dot Product of Two-Vectors

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Appeared in Year: 2012

MCQ▾

Question

If , then what is the unit vector parallel to in the opposite direction?

Choices

Choice (4) Response

a.

b.

c.

d.

Question does not provide sufficient data or is vague