Mathematics-Trigonometry (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 34 - 39 of 48

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Question number: 34

» Mathematics » Trigonometry

MCQ▾

Question

For what value of k, the vertices (2, 1), (3, 3) and (5, k) form an equilateral triangle?

Choices

Choice (4) Response

a.

No such value exist

b.

34

c.

4

d.

2

Question number: 35

» Mathematics » Trigonometry

MCQ▾

Question

ABC is triangle with A=90° . From A, a perpendicular AD is drawn on BC. Which one of the following is correct?

Choices

Choice (4) Response

a.

ABC~DAC

b.

ABC~DBA~DAC

c.

DAC~DBA

d.

Question does not provide sufficient data or is vague

Question number: 36

» Mathematics » Trigonometry

MCQ▾

Question

If cosA+cos2A=1 , then the value of sin2A+sin4A is

Choices

Choice (4) Response

a.

3

b.

½

c.

2

d.

1

Question number: 37

» Mathematics » Trigonometry

MCQ▾

Question

Given that ABC~PQR and area of ∆ ABC = 16, area of ∆PQR = 9.

If PQ = 18 cm and BC = 12 cm. Then, AB and QR are, respectively

Choices

Choice (4) Response

a.

13.5 cm, 16 cm

b.

9 cm, 24 cm

c.

32 cm, 6.75 cm

d.

24 cm, 9 cm

Question number: 38

» Mathematics » Trigonometry

MCQ▾

Question

In right ∆ABC, BC = 7 cm, AC - AB = 1 cm and ∠ B = 90°. The value of cosA+cosB+cosC is

Choices

Choice (4) Response

a.

1/7

b.

32/24

c.

25/31

d.

31/25

Question number: 39

» Mathematics » Trigonometry

MCQ▾

Question

The angles of elevations of the top of the tower from two points in the same straight line and at a distance of 9 m and 16 m from the base of the tower are complementary. The height of the tower is

Choices

Choice (4) Response

a.

18 m

b.

10m

c.

16m

d.

12m

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