Mathematics-Trigonometry (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 46 - 48 of 48

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Question number: 46

» Mathematics » Trigonometry

MCQ▾

Question

A certain distance is covered at a certain speed. If half of this distance is covered in triple the time, the ratio of the two speeds is

Choices

Choice (4) Response

a.

6: 1

b.

1: 1

c.

3: 1

d.

2: 1

Question number: 47

» Mathematics » Trigonometry

MCQ▾

Question

Two parallel lines AB and CD are intersected by a transversal line EF at M and N, respectively. The lines MP and NP are the bisectors of the interior angles BMN and DNM on the same side of the transversal. Then, ∠MPN is equal to

Choices

Choice (4) Response

a.

90°

b.

135°

c.

45°

d.

60°

Question number: 48

» Mathematics » Trigonometry

MCQ▾

Question

If cos(α+β)=45 and sin(αβ)=513 , α and β lies between 0 and π4 , then the value of tan 2α is

Choices

Choice (4) Response

a.

4333

b.

3433

c.

5633

d.

5623

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