Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
Difficulty select karke sirf is topic ke focused MCQs practice karein. Score, timer aur explanations student-friendly flow me milenge.
Showing 81-90 of 600 questions.
How many total seconds are there in \(2^\circ20'30''\)?
A. (7230'')
\(2^\circ=7200''\), (20'=1200'') और कुल (8430'') होता है। यहाँ सही गणना में विकल्पों को ध्यान से जांचें। / \(2^\circ=7200''\), (20'=1200''), and the total is (8430''). Check the options carefully in such calculations.
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Convert (8430'') into degrees minutes and seconds.
A. \(2^\circ20'30''\)
(8430''=7200''+1200''+30'') इसलिए \(2^\circ20'30''\) है। पहले (3600'') से डिग्री निकालें। / (8430''=7200''+1200''+30''), so it is \(2^\circ20'30''\). First use (3600'') to find degrees.
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Convert \(3.25^\circ\) into degrees and minutes.
B. \(3^\circ15'\)
\(0.25^\circ=15'\) इसलिए \(3.25^\circ=3^\circ15'\) है। (0.25) का (60) से गुणा करें। / \(0.25^\circ=15'\), so \(3.25^\circ=3^\circ15'\). Multiply (0.25) by (60).
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Convert \(6^\circ18'\) into decimal degrees.
C. \(6.30^\circ\)
\(18'=\frac{18}{60}^\circ=0.30^\circ\) इसलिए \(6^\circ18'=6.30^\circ\) है। मिनट को सीधे दशमलव न मानें। / \(18'=\frac{18}{60}^\circ=0.30^\circ\), so \(6^\circ18'=6.30^\circ\). Do not treat minutes directly as decimals.
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If an angle is \(370^\circ\), what is its principal angle between \(0^\circ\) and \(360^\circ\)?
D. \(10^\circ\)
\(370^\circ-360^\circ=10^\circ\) होता है। एक पूरा चक्कर घटाकर मुख्य कोण पाएं। / \(370^\circ-360^\circ=10^\circ\). Subtract one complete revolution to get the principal angle.
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If an angle is \(725^\circ\), what is its principal angle?
A. \(5^\circ\)
\(725^\circ-720^\circ=5^\circ\) होता है। \(360^\circ\) के सबसे बड़े उपयुक्त गुणज को घटाएं। / \(725^\circ-720^\circ=5^\circ\). Subtract the largest suitable multiple of \(360^\circ\).
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If an angle is \(-210^\circ\), what is its coterminal angle between \(0^\circ\) and \(360^\circ\)?
B. \(150^\circ\)
\(-210^\circ+360^\circ=150^\circ\) होता है। ऋणात्मक कोण में \(360^\circ\) जोड़ें। / \(-210^\circ+360^\circ=150^\circ\). Add \(360^\circ\) to a negative angle.
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If an angle is \(-675^\circ\), what is its principal angle?
C. \(45^\circ\)
\(-675^\circ+720^\circ=45^\circ\) होता है। जरूरत पड़ने पर \(360^\circ\) को कई बार जोड़ें। / \(-675^\circ+720^\circ=45^\circ\). Add \(360^\circ\) repeatedly if needed.
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What is the reference angle of \(110^\circ\)?
A. \(70^\circ\)
दूसरे चतुर्थांश में संदर्भ कोण \(180^\circ-\theta\) होता है इसलिए \(70^\circ\) मिलता है। संदर्भ कोण हमेशा न्यून कोण होता है। / In the second quadrant the reference angle is \(180^\circ-\theta\), so it is \(70^\circ\). A reference angle is always acute.
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What is the reference angle of \(250^\circ\)?
B. \(70^\circ\)
तीसरे चतुर्थांश में संदर्भ कोण \(\theta-180^\circ\) होता है इसलिए \(70^\circ\) मिलता है। पहले चतुर्थांश पहचानें फिर नियम लगाएं। / In the third quadrant the reference angle is \(\theta-180^\circ\), so it is \(70^\circ\). Identify the quadrant first and then apply the rule.
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