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objective Ques (310 results)
121)

\(\frac{\tan 50^\circ + \sec 50^\circ}{\cot 40^\circ + \text{cosec} \ 40^\circ}\)\(+ cos^2 65° \)\(+ sin 65° cos 25°\)\( + tan 30° \) का मान ज्ञात कीजिए |

SSC CHSL 2021
A)

\(1+\sqrt{3}\)

B)

\(\frac{6+\sqrt{3}}{3}\)

C)

\(\frac{\sqrt{3}(\sqrt{3}+1)}{3}\)

D)

\(2+\sqrt{3}\)

122)

यदि \(cos\theta={\sqrt3\over2}\), तो \(2-sin^2\theta\over1-cot^2\theta\) + (sec2θ + cosecθ) का मान है:

SSC CHSL 2021
A)

\(-\frac{59}{24}\)

B)

\(\frac{25}{12}\)

C)

\(\frac{59}{24}\)

D)

\(-\frac{25}{12}\)

123)

यदि \(\cos \theta = \frac{P^2-1}{P^2+1}, \) \(0^{\circ}<\theta<90^{\circ}\) है, तो cosec θ किसके बराबर होगा?

SSC CHSL 2021
A)

\(\frac{2P}{1-P^2}\)

B)

\(\frac{1+P^2}{2P}\)

C)

\(\frac{2P}{1+P^2}\)

D)

\(\frac{1-P^2}{2P}\)

124)

यदि 7 sin2 θ + 3 cos2 θ = 4, 0° < θ < 90° है, तो θ का मान क्या होगा?

SSC CHSL 2021
A)

45°

B)

75°

C)

60°

D)

30°

125)

\(\frac{3 \tan^2 60^{\circ}+ \sec^2 30^{\circ}- \sin^2 45^{\circ}}{(\cos 15^{\circ}+ \sin 75^{\circ})(\sec15^{\circ}+ cosec 75^{\circ})}\) का मान क्या है?

SSC CHSL 2021
A)

\(\frac{13}{12}\)

B)

\(\frac{5}{12}\)

C)

\(\frac{65}{24}\)

D)

\(\frac{59}{24}\)

126)

A = 30° के लिए, \( \frac{-3\sin^22A+2\sec^2A-\tan\frac{3A}{2}}{\frac{1}{3}\sin3A}\) का मान ज्ञात कीजिए।

SSC CHSL 2021
A)

\(\frac{11}{4}\)

B)

\(-\frac{7}{4}\)

C)

\(\frac{57}{4}\)

D)

\(-\frac{7}{36}\)

127)

यदि \(cos\theta={7\over3\sqrt6}\) और θ एक न्यून कोण है, तो \(27\sin^2 \theta-\frac{3}{2}\) मान क्या है?

SSC CHSL 2021
A)

12°

B)

C)

15°

D)

128)

यदि sec2 θ + (1 - √3) tan θ - (1 + √3) = 0 हो तो θ का मान ज्ञात कीजिए जहां θ एक न्यून कोण है।

SSC CHSL 2021
A)

60°

B)

30°

C)

45°

D)

15°

129)

यदि cosec2 θ (cos θ - 1)(1 + cos θ) = k, तो k का मान क्या है ज्ञात कीजिए?

SSC CHSL 2021
A)

-1

B)

0

C)

1

D)

\(\frac{1}{2}\)

130)

निम्नलिखित अभिव्यक्ति का मूल्यांकन कीजिए।
\(\frac{\tan^2 60^{\circ}+ cosec\: 30^{\circ}\sin 90^{\circ}+3 \sec^230^{\circ}}{4 \sin^2 45^{\circ}+ \sec^2 60^{\circ} - \cot^2 30^{\circ}-5 \cos^290^{\circ}}\)

SSC CHSL 2021
A)

-12

B)

\(\frac{19}{17}\)

C)

3

D)

\(\frac{7}{3}\)

showing 121 - 130 results of 310 results

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