NDA (National Defence Academy) Mathematics: Questions 262 - 269 of 384

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Passage

Let

Where,

Question number: 262 (1 of 3 Based on Passage) Show Passage

» Trigonometry » Trigonometric Identities Sum and Difference Formulae

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MCQ▾

Question

What is the value of ?

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 263 (2 of 3 Based on Passage) Show Passage

» Trigonometry » Trigonometric Identities Sum and Difference Formulae

Edit
MCQ▾

Question

What is equal to?

Choices

Choice (4) Response

a.

0

b.

1

c.

2

d.

Question number: 264 (3 of 3 Based on Passage) Show Passage

» Trigonometry » Trigonometric Identities Sum and Difference Formulae

Edit
MCQ▾

Question

What is equal to?

Choices

Choice (4) Response

a.

0

b.

c.

1

d.

Question number: 265

» Matrices and Determinants » Types of Matrices

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MCQ▾

Question

If , then find the .

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 266

» Differential Calculus » Continuity of Functions

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MCQ▾

Question

What is the solution of differential equation

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 267

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

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MCQ▾

Question

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

Choices

Choice (4) Response

a.

b.

c.

d.

Question number: 268

» Statistics and Probability » Binomial Distribution

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MCQ▾

Question

The value of the term independent of in the expansion of is:

Choices

Choice (4) Response

a.

55

b.

40

c.

0

d.

15

Question number: 269

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

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MCQ▾

Question

From the top of a building of height meter, the angle of depression of an object on the ground is . What is the distance (in meter) of the object from the foot of the building?

Choices

Choice (4) Response

a.

5

b.

c.

d.

cos θ