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 131-140 of 600 questions.
Which is the reciprocal of \(\sqrt{13}\)?
B. \(\frac{1}{\sqrt{13}}\)
व्युत्क्रम वह है जिसका गुणनफल (1) देता है। \(\sqrt{13}\times\frac{1}{\sqrt{13}}=1\) होता है। / The reciprocal is the number whose product gives (1). \(\sqrt{13}\times\frac{1}{\sqrt{13}}=1\).
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What is the value of (\(\sqrt{2}+1\)-\sqrt{2})?
B. परिमेय (1)Rational (1)
\(\sqrt{2}\) के पद कट जाते हैं और मान (1) है। कभी-कभी अपरिमेय पद हटकर परिमेय परिणाम दे सकते हैं। / The \(\sqrt{2}\) terms cancel and the value is (1). Sometimes irrational terms can cancel to give a rational result.
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What is the value of (\(\sqrt{6}+2\)\(\sqrt{6}-2\))?
A. (2)
यह ((a+b)(a-b)=a-2-b-2) है, इसलिए मान (6-4=2) है। संयुग्मी रूप परिणाम को परिमेय बना सकता है। / This is ((a+b)(a-b)=a-2-b-2), so the value is (6-4=2). Conjugates can make the result rational.
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Which is the expansion of (\(\sqrt{5}+1\)\(\sqrt{5}+1\))?
A. \(6+2\sqrt{5}\)
(\(\sqrt{5}+1\)2=5+2\sqrt{5}+1=6+2\sqrt{5}) है। मध्य पद भूलना नहीं चाहिए। / (\(\sqrt{5}+1\)2=5+2\sqrt{5}+1=6+2\sqrt{5}). Do not forget the middle term.
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Which statement is correct when comparing \(\sqrt{2}\) and \(\sqrt{3}\)?
C. \(\sqrt{2}<\sqrt{3}\)
क्योंकि (2<3), इसलिए \(\sqrt{2}<\sqrt{3}\)। धनात्मक संख्याओं के वर्गमूल में अंदर की संख्या की तुलना करें। / Since (2<3), \(\sqrt{2}<\sqrt{3}\). For positive square roots compare the numbers inside.
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Between which two integers does \(\sqrt{17}\) lie?
B. (4) और (5)(4) and (5)
क्योंकि (16<17<25), इसलिए \(4<\sqrt{17}<5\)। निकट पूर्ण वर्गों से सीमा तय करें। / Since (16<17<25), \(4<\sqrt{17}<5\). Use nearby perfect squares to decide bounds.
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On the number line, \(\sqrt{2}\) can be constructed using which triangle?
A. समकोण त्रिभुज जिसकी भुजाएँ (1) और (1) होंRight triangle with legs (1) and (1)
समकोण त्रिभुज में कर्ण \(\sqrt{1^2+1^2}=\sqrt{2}\) होता है। पाइथागोरस प्रमेय से निर्माण समझें। / In a right triangle, the hypotenuse is \(\sqrt{1^2+1^2}=\sqrt{2}\). Understand construction using Pythagoras theorem.
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Which number can be represented exactly on the number line?
C. परिमेय और अपरिमेय दोनोंBoth rational and irrational numbers
संख्या रेखा पर वास्तविक संख्याएँ दिखाई जाती हैं जिनमें परिमेय और अपरिमेय दोनों शामिल हैं। अपरिमेयों का निर्माण ज्यामिति से किया जा सकता है। / The number line represents real numbers, including both rational and irrational numbers. Irrationals can be constructed geometrically.
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If the side of a square is \(\sqrt{3}\) units, what will be its area?
A. (3) वर्ग इकाई(3) square units
क्षेत्रफल (\(\sqrt{3}\)2=3) है। अपरिमेय भुजा का क्षेत्रफल परिमेय हो सकता है। / The area is (\(\sqrt{3}\)2=3). A square with irrational side can have rational area.
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Which number has square (19) and is positive?
A. \(\sqrt{19}\)
धनात्मक संख्या \(\sqrt{19}\) है क्योंकि (\(\sqrt{19}\)2=19)। (19) पूर्ण वर्ग नहीं है इसलिए यह अपरिमेय है। / The positive number is \(\sqrt{19}\) because (\(\sqrt{19}\)2=19). Since (19) is not a perfect square, it is irrational.
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