Mathematics-Trigonometry (NTSE Stage-1 (State-Level) Scholastic-Aptitude & Language Comprehension): Questions 24 - 28 of 48

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Question number: 24

» Mathematics » Trigonometry

MCQ▾

Question

If the mid-points of the sides of a triangle are (1, 5), (2, 6) and (3, 2), the coordinates of the centroid of the triangle is

Choices

Choice (4) Response

a.

(2,133)

b.

(3.5,6)

c.

(6.5,3)

d.

(3,6)

Question number: 25

» Mathematics » Trigonometry

MCQ▾

Question

If the angle of elevation of a cloud from a point h m above a lake is B and the angle of depression of its reflection in the lake is a, then the height of the cloud is

Choices

Choice (4) Response

a.

hsin(α+β)cosec(α+β)

b.

hcosec(α+β)sin(αβ)

c.

hcosec(αβ)sin(αβ)

d.

hcosec(αβ)cosec(αβ)

Question number: 26

» Mathematics » Trigonometry

MCQ▾

Question

If A is the area of a right angled triangle and b is one of the sides containing the right angle, then what is the length of the altitude on the hypotenuse?

Choices

Choice (4) Response

a.

4Abb4+2A4

b.

2Ab2b4+4A2

c.

2A2b2b4+A2

d.

2Abb4+4A2

Question number: 27

» Mathematics » Trigonometry

MCQ▾

Question

If cosecθsinθ=a3 and secθcosθ=b3 , then a2b2(a2+b2) is equal to

Choices

Choice (4) Response

a.

1

b.

-2

c.

2

d.

-1

Question number: 28

» Mathematics » Trigonometry

MCQ▾

Question

In the given figure, ABCD , then which of the following is true?

Two parallel lines - AB and CD

Two Parallel Lines - AB and CD

Find the right option by observing figure

Choices

Choice (4) Response

a.

p + q - 2r = 180°

b.

p - q + r = 180°

c.

p + q + r = 180°

d.

p + q - r = 180 °

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