Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
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Showing 221-230 of 600 questions.
In which quadrant will the terminal side of \( \frac{4\pi}{9} \) radians lie?
A. प्रथम चतुर्थांशFirst quadrant
\(0<\frac{4\pi}{9}<\frac{\pi}{2}\) है इसलिए यह प्रथम चतुर्थांश में है। छोटे धनात्मक रेडियन कोणों की सीमा ध्यान से देखें।
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In which quadrant is \( \frac{5\pi}{9} \) radians?
B. द्वितीय चतुर्थांशSecond quadrant
\( \frac{\pi}{2}<\frac{5\pi}{9}<\pi \) है इसलिए यह द्वितीय चतुर्थांश में है। \( \frac{\pi}{2} \) और \( \pi \) की सीमा याद रखें।
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What is \(125^\circ 30'\) in decimal degrees?
C. \(125.5^\circ\)
\(30'=\frac{30}{60}^\circ=0.5^\circ\) इसलिए मान \(125.5^\circ\) है। मिनट को दशमलव में सीधे न लिखें। / \(30'=\frac{30}{60}^\circ=0.5^\circ\), so the value is \(125.5^\circ\). Do not write minutes directly as decimals.
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Write \(76^\circ 45'\) in decimal degrees.
B. \(76.75^\circ\)
\(45'=\frac{45}{60}^\circ=0.75^\circ\) इसलिए \(76^\circ 45'=76.75^\circ\) है। मिनट को (60) से भाग दें। / \(45'=\frac{45}{60}^\circ=0.75^\circ\), so \(76^\circ 45'=76.75^\circ\). Divide minutes by (60).
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Convert \(19.2^\circ\) into degrees and minutes.
C. \(19^\circ 12'\)
\(0.2^\circ\times 60'=12'\) इसलिए \(19.2^\circ=19^\circ 12'\) है। दशमलव भाग को (60) से गुणा करें। / \(0.2^\circ\times 60'=12'\), so \(19.2^\circ=19^\circ 12'\). Multiply the decimal part by (60).
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Convert \(48.625^\circ\) into degrees minutes seconds.
A. \(48^\circ 37' 30''\)
\(0.625^\circ\times 60'=37.5'\) और \(0.5'\times 60''=30''\) है। दशमलव को क्रम से मिनट और सेकंड में बदलें। / \(0.625^\circ\times 60'=37.5'\) and \(0.5'\times 60''=30''\). Convert the decimal part step by step into minutes and seconds.
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Convert \(33^\circ 20' 24''\) into total seconds.
B. (120024'')
\(33^\circ=118800''\) और (20'=1200'') इसलिए कुल (120024'') है। \(1^\circ=3600''\) और (1'=60'') याद रखें। / \(33^\circ=118800''\) and (20'=1200''), so the total is (120024''). Remember \(1^\circ=3600''\) and (1'=60'').
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Convert (4585'') into degrees minutes seconds.
C. \(1^\circ 16' 25''\)
(4585''=3600''+985'') और (985''=16'25'') है। पहले (3600'') से डिग्री निकालें। / (4585''=3600''+985'') and (985''=16'25''). First find degrees using (3600'').
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When (2) radians is approximately converted into degrees, which value is nearest?
D. \(114.6^\circ\)
\(2\times \frac{180^\circ}{\pi}\approx 114.6^\circ\) होता है। अनुमान में (1) रेडियन को \(57.3^\circ\) मानें। / \(2\times \frac{180^\circ}{\pi}\approx 114.6^\circ\). For estimation take (1) radian as \(57.3^\circ\).
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When (3.2) radians is approximately converted into degrees, the value is nearest to which option?
A. \(183.4^\circ\)
\(3.2\times 57.3^\circ\approx 183.4^\circ\) है। रेडियन को डिग्री में बदलने के लिए \(57.3^\circ\) से गुणा करें। / \(3.2\times 57.3^\circ\approx 183.4^\circ\). Multiply by \(57.3^\circ\) to convert radians approximately into degrees.
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