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 51-60 of 600 questions.
What is the real domain of (f(x)=x-7)?
B. \(\mathbb{R}\)
रेखीय फलन (x-7) हर वास्तविक (x) के लिए परिभाषित है। इसलिए इसका प्रांत \(\mathbb{R}\) है। / The linear function (x-7) is defined for every real (x). Hence its domain is \(\mathbb{R}\).
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What is the range of (f(x)=7-2x) when \(x \in \mathbb{R}\)?
C. \(\mathbb{R}\)
(7-2x) एक अस्थिर रेखीय फलन है और हर वास्तविक मान ले सकता है। इसलिए इसका परिसर \(\mathbb{R}\) है। / (7-2x) is a non-constant linear function and can take every real value. Therefore its range is \(\mathbb{R}\).
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Which condition on (x) is correct for (f(x)=\sqrt{x-5})?
A. \(x \ge 5\)
वर्गमूल वास्तविक होने के लिए \(x-5 \ge 0\) चाहिए। इसलिए सही शर्त \(x \ge 5\) है। / For the square root to be real, \(x-5 \ge 0\) is required. So the correct condition is \(x \ge 5\).
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What is the real domain of (f(x)=\sqrt{x-5})?
B. \([5,\infty\))
\(x-5 \ge 0\) से \(x \ge 5\) मिलता है। सिरा (5) शामिल है क्योंकि वर्गमूल (0) हो सकता है। / From \(x-5 \ge 0\), we get \(x \ge 5\). The endpoint (5) is included because the square root can be (0).
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What is the real domain of (f(x)=\sqrt{8-x})?
C. (\(-\infty,8]\)
वर्गमूल के अंदर \(8-x \ge 0\) होना चाहिए। इससे \(x \le 8\) और प्रांत (\(-\infty,8]\) मिलता है। / The expression inside the square root must satisfy \(8-x \ge 0\). This gives \(x \le 8\), so the domain is (\(-\infty,8]\).
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Which value is not in the domain of (f(x)=\frac{3}{x-6})?
D. (6)
हर (x-6) है और (x=6) पर हर (0) बन जाता है। इसलिए (6) प्रांत में नहीं होगा। / The denominator is (x-6), and it becomes (0) at (x=6). Therefore (6) is not in the domain.
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What is the domain of (f(x)=\frac{x+2}{x+5})?
A. \(\mathbb{R}-{-5}\)
हर (x+5) है और (x=-5) पर यह (0) होता है। इसलिए (-5) को प्रांत से हटाते हैं। / The denominator is (x+5), and it becomes (0) at (x=-5). Hence (-5) is excluded from the domain.
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If \(A=\{2,4,6\}\) and (f(x)=\frac{x}{2}), what is the range?
B. ({1,2,3})
(2,4,6) रखने पर मान (1,2,3) मिलते हैं। सीमित प्रांत में हर तत्व का मान निकालें। / Substituting (2,4,6) gives (1,2,3). For a finite domain, find the value for each element.
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If \(A=\{-3,0,3\}\) and (f(x)=x+4), what is the range?
A. ({1,4,7})
(f(-3)=1), (f(0)=4), और (f(3)=7) हैं। इसलिए परिसर ({1,4,7}) है। / (f(-3)=1), (f(0)=4), and (f(3)=7). Hence the range is ({1,4,7}).
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What is the minimum value of (f(x)=x-2+9)?
C. (9)
क्योंकि \(x^2 \ge 0\), इसलिए \(x^2+9 \ge 9\) है। न्यूनतम मान (9) है। / Since \(x^2 \ge 0\), \(x^2+9 \ge 9\). The minimum value is (9).
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