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 71-80 of 650 questions.
What will be the next hypotenuse after \(\sqrt{18}\) in a square root spiral?
C. \(\sqrt{19}\)
हर नए चरण में (1) इकाई लंब जुड़ती है। इसलिए संख्या (18) से (19) हो जाती है। / At each new step a (1) unit perpendicular is added. So the number changes from (18) to (19).
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Which previous hypotenuse is used to make \(\sqrt{21}\) in a square root spiral?
B. \(\sqrt{20}\)
\(\sqrt{20}\) और (1) इकाई लंब से \(\sqrt{21}\) बनता है। पिछले कर्ण में संख्या एक कम होती है। / \(\sqrt{21}\) is formed from \(\sqrt{20}\) and a (1) unit perpendicular. The previous hypotenuse has one less number.
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What is the length of \(\sqrt{25}\) in a square root spiral?
B. (5)
\(\sqrt{25}=5\) होता है। यह पूर्ण वर्ग का वर्गमूल है। / \(\sqrt{25}=5\). It is the square root of a perfect square.
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Which length in a square root spiral is usually irrational?
C. \(\sqrt{8}\)
\(\sqrt{8}\) पूर्ण वर्ग का वर्गमूल नहीं है। इसलिए यह अपरिमेय है। / \(\sqrt{8}\) is not the square root of a perfect square. Therefore it is irrational.
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In a square root spiral, which next irrational length is formed after \(\sqrt{4}\)?
A. \(\sqrt{5}\)
\(\sqrt{4}=2\) परिमेय है। इसके बाद \(\sqrt{5}\) बनता है जो अपरिमेय है। / \(\sqrt{4}=2\) is rational. After this \(\sqrt{5}\) is formed and it is irrational.
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In a square root spiral, which hypotenuse is formed after \(\sqrt{27}\)?
C. \(\sqrt{28}\)
अगला कर्ण \(\sqrt{27+1}=\sqrt{28}\) होगा। क्रमिक नियम याद रखें। / The next hypotenuse is \(\sqrt{27+1}=\sqrt{28}\). Remember the sequential rule.
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Just before making \(\sqrt{30}\) in a square root spiral, which hypotenuse will be present?
B. \(\sqrt{29}\)
\(\sqrt{29}\) पर (1) इकाई लंब बनाने से \(\sqrt{30}\) मिलता है। यही निर्माण का क्रम है। / Drawing a (1) unit perpendicular on \(\sqrt{29}\) gives \(\sqrt{30}\). This is the construction order.
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What is used to place the length from a square root spiral on the number line?
A. कंपासCompass
कंपास से कर्ण की लंबाई लेकर संख्या रेखा पर चाप लगाया जाता है। इससे वर्गमूल का बिंदु मिलता है। / Using a compass the hypotenuse length is transferred to the number line by drawing an arc. This gives the square root point.
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Which statement is correct for a square root spiral?
A. हर नया कर्ण पिछले से संबंधित अगला वर्गमूल देता हैEach new hypotenuse gives the next related square root
वर्गमूल सर्पिल में नया कर्ण क्रम से अगला वर्गमूल देता है। यह समकोण त्रिभुजों से बनता है। / In a square root spiral the new hypotenuse gives the next square root in order. It is made from right triangles.
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In a square root spiral, \(\sqrt{2}\) is placed between which numbers on the number line?
B. (1) और (2)(1) and (2)
क्योंकि \(1^2<2<2^2\) है। इसलिए \(1<\sqrt{2}<2\) होता है। / Because \(1^2<2<2^2\). Therefore \(1<\sqrt{2}<2\).
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