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 561-570 of 600 questions.
How many radians are equal to \(1^\circ\)?
D. \(\frac{\pi}{180}\)
क्योंकि \(180^\circ=\pi\) रेडियन, इसलिए \(1^\circ=\frac{\pi}{180}\) रेडियन है। परीक्षा में इस मूल रूपांतरण को याद रखें। / Since \(180^\circ=\pi\) radians, \(1^\circ=\frac{\pi}{180}\) radians. Remember this basic conversion for exams.
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Taking \(\pi=\frac{22}{7}\), what is the approximate degree measure of (2) radians?
A. \(114\frac{6}{11}^\circ\)
\(2\times\frac{180^\circ}{\pi}=2\times\frac{180^\circ\times7}{22}=114\frac{6}{11}^\circ\) है। परीक्षा में दिए गए \(\pi\) के मान का ही प्रयोग करें। / \(2\times\frac{180^\circ}{\pi}=2\times\frac{180^\circ\times7}{22}=114\frac{6}{11}^\circ\). In exams, use the given value of \(\pi\).
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If \(3\theta=450^\circ\), what is the radian measure of \(\theta\)?
C. \(\frac{5\pi}{6}\)
\(\theta=150^\circ\) और \(150^\circ=\frac{5\pi}{6}\) होता है। परीक्षा में पहले कोण निकालें, फिर रेडियन में बदलें। / \(\theta=150^\circ\), and \(150^\circ=\frac{5\pi}{6}\). In exams, first find the angle, then convert into radians.
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What is the radian measure of an angle \(54^\circ\) more than \(\frac{1}{5}\) of a straight angle?
B. \(\frac{\pi}{2}\)
सीधा कोण \(180^\circ\) है, इसलिए \(\frac{1}{5}\) भाग \(36^\circ\) और कुल \(90^\circ\) है। परीक्षा में शब्दों को चरणों में बदलें। / A straight angle is \(180^\circ\), so \(\frac{1}{5}\) is \(36^\circ\) and the total is \(90^\circ\). In exams, translate words step by step.
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D. \(-\frac{19\pi}{12}\)
परिणामी कोण \(125^\circ-410^\circ=-285^\circ\) है, जो \(-\frac{19\pi}{12}\) रेडियन है। परीक्षा में वामावर्त को धनात्मक और दक्षिणावर्त को ऋणात्मक लें। / The resulting angle is \(125^\circ-410^\circ=-285^\circ\), which is \(-\frac{19\pi}{12}\) radians. In exams, take anticlockwise as positive and clockwise as negative.
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What is the least positive coterminal angle of \(\frac{31\pi}{7}\)?
A. \(\frac{3\pi}{7}\)
\(\frac{31\pi}{7}-4\pi=\frac{3\pi}{7}\) है। परीक्षा में \(2\pi\) के गुणज घटाते रहें। / \(\frac{31\pi}{7}-4\pi=\frac{3\pi}{7}\). In exams, keep subtracting multiples of \(2\pi\).
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Can there be a non-zero angle whose degree measure is (2) times its radian measure?
C. नहींNo
अशून्य कोण के लिए अनुपात हमेशा \(180/\pi\) होता है, जो (2) नहीं है। परीक्षा में डिग्री और रेडियन के संख्यात्मक अनुपात को पहचानें। / For a non-zero angle, the numerical ratio is always \(180/\pi\), not (2). In exams, identify the numerical ratio between degree and radian measures.
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What is the radian measure of an angle \(15^\circ\) less than \(\frac{\pi}{3}\) radians?
B. \(\frac{\pi}{4}\)
\(\frac{\pi}{3}=60^\circ\), इसलिए नया कोण \(45^\circ=\frac{\pi}{4}\) है। परीक्षा में मिश्रित इकाइयों को एक ही इकाई में बदलें। / \(\frac{\pi}{3}=60^\circ\), so the new angle is \(45^\circ=\frac{\pi}{4}\). In exams, convert mixed units into one unit.
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What is the smaller angle between the hands of a clock at (7:20)?
D. \(100^\circ\)
घंटे की सूई \(220^\circ\) और मिनट की सूई \(120^\circ\) पर होगी, अंतर \(100^\circ\) है। परीक्षा में घंटे की सूई की अतिरिक्त गति न भूलें। / The hour hand is at \(220^\circ\) and the minute hand at \(120^\circ\), so the difference is \(100^\circ\). In exams, do not forget the extra movement of the hour hand.
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What is the smaller angle between the hands of a clock at (2:50)?
C. \(145^\circ\)
घंटे की सूई \(85^\circ\) और मिनट की सूई \(300^\circ\) पर होगी, इसलिए छोटा कोण \(145^\circ\) है। परीक्षा में बड़े अंतर को \(360^\circ\) से घटाकर छोटा कोण लें। / The hour hand is at \(85^\circ\) and the minute hand at \(300^\circ\), so the smaller angle is \(145^\circ\). In exams, subtract the larger difference from \(360^\circ\).
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