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 621-630 of 649 questions.
Which option is an irrational number between (3) and (4)?
A. \(\sqrt{15}\)
क्योंकि (9<15<16), इसलिए \(3<\sqrt{15}<4\) है और \(\sqrt{15}\) अपरिमेय है। परीक्षा में वर्गों के बीच तुलना करें। / Since (9<15<16), \(3<\sqrt{15}<4\) and \(\sqrt{15}\) is irrational. In exams compare between squares.
Login to save your score, XP, coins and progress.
If (m) is a positive integer and \(\sqrt{m}\) is rational, which conclusion about (m) is correct?
A. (m) पूर्ण वर्ग है(m) is a perfect square
धनात्मक पूर्णांक का परिमेय वर्गमूल तभी पूर्णांक होता है जब वह पूर्ण वर्ग हो। परीक्षा में पूर्ण वर्ग पहचानना जरूरी है। / The rational square root of a positive integer is an integer only when it is a perfect square. In exams identifying perfect squares is important.
Login to save your score, XP, coins and progress.
If \(x=\sqrt{11}-\sqrt{2}\), what is \(x^2\)?
A. \(13-2\sqrt{22}\)
\(x^2=11+2-2\sqrt{22}=13-2\sqrt{22}\) है। परीक्षा में ((a-b)2) का मध्य पद न भूलें। / \(x^2=11+2-2\sqrt{22}=13-2\sqrt{22}\). In exams do not forget the middle term of ((a-b)2).
Login to save your score, XP, coins and progress.
If \(\alpha=5+2\sqrt{6}\) and \(\beta=5-2\sqrt{6}\), what is \(\alpha\beta\)?
A. (1)
(\alpha\beta=25-\(2\sqrt{6}\)2=25-24=1) है। परीक्षा में संयुग्मी गुणन में वर्ग सही करें। / (\alpha\beta=25-\(2\sqrt{6}\)2=25-24=1). In exams square terms correctly in conjugate multiplication.
Login to save your score, XP, coins and progress.
Which option is the correct multiplicative inverse of \(2+\sqrt{3}\)?
A. \(2-\sqrt{3}\)
(\(2+\sqrt{3}\)\(2-\sqrt{3}\)=1), इसलिए प्रतिलोम \(2-\sqrt{3}\) है। परीक्षा में गुणनफल (1) जांचें। / (\(2+\sqrt{3}\)\(2-\sqrt{3}\)=1), so the inverse is \(2-\sqrt{3}\). In exams check that the product is (1).
Login to save your score, XP, coins and progress.
If (p(x)=x-2-14x+45), what is the type of its zeroes?
A. वास्तविक परिमेयReal rational
विविक्तकर (196-180=16) है और \(\sqrt{16}=4\) परिमेय है। इसलिए शून्यक वास्तविक परिमेय हैं। / The discriminant is (196-180=16) and \(\sqrt{16}=4\) is rational. Hence the zeroes are real rational.
Login to save your score, XP, coins and progress.
If (p(x)=x-2-14x+40), what is the type of its zeroes?
A. वास्तविक अपरिमेयReal irrational
विविक्तकर (196-160=36) है इसलिए शून्यक परिमेय होंगे यह कथन गलत नहीं बल्कि सही है। यहां सही प्रकार वास्तविक परिमेय होना चाहिए। / The discriminant is (196-160=36) so the zeroes are rational. The correct type should be real rational.
Login to save your score, XP, coins and progress.
If (p(x)=x-2-14x+38), what is the correct type of its zeroes?
A. वास्तविक अपरिमेयReal irrational
विविक्तकर (196-152=44) है और \(\sqrt{44}\) अपरिमेय है। इसलिए शून्यक वास्तविक अपरिमेय हैं। / The discriminant is (196-152=44) and \(\sqrt{44}\) is irrational. Hence the zeroes are real irrational.
Login to save your score, XP, coins and progress.
Which option is equal to \(\sqrt{72}-\sqrt{50}+\sqrt{8}\)?
A. \(3\sqrt{2}\)
\(\sqrt{72}=6\sqrt{2}\), \(\sqrt{50}=5\sqrt{2}\) और \(\sqrt{8}=2\sqrt{2}\) है। इसलिए मान \(3\sqrt{2}\) है। / \(\sqrt{72}=6\sqrt{2}\), \(\sqrt{50}=5\sqrt{2}\) and \(\sqrt{8}=2\sqrt{2}\). Hence the value is \(3\sqrt{2}\).
Login to save your score, XP, coins and progress.
A. अपरिमेयIrrational
यदि \(\frac{s}{r}\) परिमेय हो तो \(s=r\cdot\frac{s}{r}\) परिमेय हो जाएगा जो गलत है। परीक्षा में शून्येतर शर्त जरूर देखें। / If \(\frac{s}{r}\) were rational then \(s=r\cdot\frac{s}{r}\) would be rational which is false. In exams check the non-zero condition.
Login to save your score, XP, coins and progress.
Use Google login or mobile OTP. Admin can block users and control login providers.