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 441-450 of 600 questions.
\(\frac{7\pi}{2}\) radians is equal to how many revolutions?
C. \(\frac{7}{4}\)
एक चक्कर \(2\pi\) रेडियन होता है। \(\frac{7\pi}{2}\div2\pi=\frac{7}{4}\) चक्कर। / One revolution is \(2\pi\) radians. \(\frac{7\pi}{2}\div2\pi=\frac{7}{4}\) revolutions.
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If \(\theta=-315^\circ\) then what is its coterminal angle in \(0^\circ\le\theta<360^\circ\)?
B. \(45^\circ\)
\(-315^\circ+360^\circ=45^\circ\) है। दिए गए अंतराल में लाने के लिए \(360^\circ\) जोड़ें। / \(-315^\circ+360^\circ=45^\circ\). Add \(360^\circ\) to bring it into the given interval.
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What is the approximate degree measure of (4) radians?
C. \(229.2^\circ\)
(4) रेडियन \(=4\times\frac{180^\circ}{\pi}\approx229.2^\circ\) है। अनुमान में \(\pi\approx3.14\) रखें। / (4) radians \(=4\times\frac{180^\circ}{\pi}\approx229.2^\circ\). Use \(\pi\approx3.14\) for approximation.
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A. \(\frac{3\pi}{10}\)
समान चाप लंबाई के लिए \(\theta\) त्रिज्या के व्युत्क्रमानुपाती है। त्रिज्या दुगुनी होने पर कोण आधा होकर \(\frac{3\pi}{10}\) होगा। / For the same arc length \(\theta\) is inversely proportional to radius. When radius doubles the angle becomes half as \(\frac{3\pi}{10}\).
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What is the radian measure of \(\frac{3}{8}\) of a complete revolution?
C. \(\frac{3\pi}{4}\)
पूर्ण चक्कर \(2\pi\) रेडियन है। \(\frac{3}{8}\times2\pi=\frac{3\pi}{4}\) होता है। / A complete revolution is \(2\pi\) radians. \(\frac{3}{8}\times2\pi=\frac{3\pi}{4}\).
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What is the least positive coterminal angle of \(1490^\circ\)?
B. \(50^\circ\)
\(1490^\circ-1440^\circ=50^\circ\) है। \(360^\circ\) के अधिकतम संभव गुणज को घटाएं। / \(1490^\circ-1440^\circ=50^\circ\). Subtract the largest possible multiple of \(360^\circ\).
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B. \(\frac{8\pi}{7}\)
तृतीय चतुर्थांश में कोण \(\pi+\) संदर्भ कोण होता है। इसलिए \(\pi+\frac{\pi}{7}=\frac{8\pi}{7}\) है। / In the third quadrant the angle is \(\pi+\) reference angle. Hence \(\pi+\frac{\pi}{7}=\frac{8\pi}{7}\).
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Which of the following pairs consists of coterminal angles?
A. \(45^\circ\) और \(405^\circ\)\(45^\circ\) and \(405^\circ\)
\(405^\circ-45^\circ=360^\circ\) है इसलिए दोनों सहप्रारंभी हैं। अंतर \(360^\circ\) का गुणज होना चाहिए। / \(405^\circ-45^\circ=360^\circ\) so they are coterminal. The difference must be a multiple of \(360^\circ\).
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Which is the correct geometrical interpretation of (1) radian?
A. जब चाप लंबाई त्रिज्या के बराबर होWhen arc length equals radius
(1) रेडियन तब बनता है जब (s=r) हो। परिभाषा आधारित प्रश्नों में \(s=r\theta\) को याद रखें. / (1) radian is formed when (s=r). For definition based questions remember \(s=r\theta\).
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B. \(14\pi\) मीटर\(14\pi\) m
\(40^\circ=\frac{2\pi}{9}\) रेडियन है। दूरी \(s=63\times\frac{2\pi}{9}=14\pi\) मीटर होगी। / \(40^\circ=\frac{2\pi}{9}\) radians. The distance is \(s=63\times\frac{2\pi}{9}=14\pi\) m.
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