Explore topic-wise MCQs in GEOMETRY.

This section includes 65 Mcqs, each offering curated multiple-choice questions to sharpen your GEOMETRY knowledge and support exam preparation. Choose a topic below to get started.

51.

If 8 tan x = 15, the value of (sin x - cos x) is:

A. 12 / 5
B. 17 / 5
C. 7 / 17
D. 12 / 7
Answer» D. 12 / 7
Discussion
52.

If x2+ y2+ z2= r2and x = r cos A sin B, y = r sin A sin B, find the value of z.

A. z = r sin B
B. z = r cos B
C. z = r sinA cosB
D. None of these
Answer» C. z = r sinA cosB
Discussion
53.

If tan 62° = p/q find the value of tan 28° .

A. p = q
B. q / p
C. p≠ q
D. None of these
Answer» C. p≠ q
Discussion
54.

What is the value of sin260° + cos230°+ cot245° + sec260° – cosec230° + cos20°.

A. 1 / 7
B. 7 / 3
C. 7 / 2
D. 7
Answer» D. 7
Discussion
55.

If tan Θ = √3 and 0 < Θ < 2π(pi), find the values of Θ.

A. π / 3
B. 4π / 3
C. Both A and B
D. None of these
Answer» D. None of these
Discussion
56.

What is the value of cos 70° cos 40° + sin 70° sin 40° ?

A. 1 / √2
B. √2
C. √3 / 2
D. √3
Answer» D. √3
Discussion
57.

What is the value of sin 79° cos 19° – cos 79° sin 19°.

A. √3 / 2
B. 1 / √2
C. √2
D. √3
Answer» B. 1 / √2
Discussion
58.

Evaluate: cos245° - sin215°.

A. 1 / √2
B. √2 / 3
C. √3 / 4
D. √4
Answer» D. √4
Discussion
59.

Show that the value of 3 sin 15° – 4 sin315° is

A. 1/√3
B. 1/√4
C. 1/√2
D. √3
Answer» D. √3
Discussion
60.

Find the value of (tan 69° + tan 66°)/(1 – tan 69° tan 66°)

A. 1
B. – 1
C. 2
D. – 2
Answer» C. 2
Discussion
61.

If tanΘ + cotΘ = 16, then find the ratio of tan2Θ + cot2Θ to tan2Θ + cot2Θ + 20 tanΘ.cotΘ

A. 64 : 65
B. 129 : 137
C. 27 : 29
D. 127 : 137
Answer» E.
Discussion
62.

The value of (sin 300º tan 330º sec 420º / cot 135º cos 210º cosec 315º) is :

A. (√3 / 2)
B. –(√3 / 2)
C. (2 / 3)
D. – √(2 / 3)
Answer» E.
Discussion
63.

If cos θ = – (1 / 2) and π < θ <3π, find the value of 4 tan2θ –3 cosec2θ

A. 12
B. 8
C. 4
D. 2
Answer» C. 4
Discussion
64.

If cot {(π / 2) – (θ / 2)} = √3, then sinθ – cosθ = ?

A. (1 / 2)
B. (√3 / 2)
C. {((√3) + 1) / 2}
D. {((√3) – 1) / 2}
Answer» D. {((√3) – 1) / 2}
Discussion
65.

If 8 sin x = 4 + ​cos x, the values of sin x are :

A. (3 / 5), (–5 / 13)
B. –(3 / 5), (5 /13)
C. –(3 / 5), (–5 / 13)
D. (3 / 5), (5 / 13)
Answer» E.
Discussion