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 311-320 of 600 questions.
If \(f=\{(x,y):y=\frac{x+1}{2},\ x\in{1,3,5,7}\}\), what is the range of (f)?
A. \({1,2,3,4})
(x=1,3,5,7) पर (y=1,2,3,4) मिलता है। range निकालने में केवल outputs लिखें। / For (x=1,3,5,7), we get (y=1,2,3,4). To find range, write only the outputs.
Login to save your score, XP, coins and progress.
When is a relation \(R\subseteq A\times B\) called a function from (A) to (B)?
A. हर \(a\in A\) के लिए ठीक एक \(b\in B\) हो ताकि \((a,b)\in R\)For every \(a\in A\), there is exactly one \(b\in B\) such that \((a,b)\in R\)
फलन की शर्त domain elements पर लगती है, codomain elements पर नहीं। definition questions में exactly one शब्द सबसे जरूरी है। / The condition for a function is on domain elements, not codomain elements. In definition questions, the words exactly one are most important.
Login to save your score, XP, coins and progress.
A. (3)
(x=1,2,3) के लिए pairs ((1,1),(2,4),(3,9)) मिलते हैं। rule relation में domain values को systematically substitute करें। / For (x=1,2,3), pairs are ((1,1),(2,4),(3,9)). In rule-based relations, substitute domain values systematically.
Login to save your score, XP, coins and progress.
If \(f:A\to B\) is a function and \(A=\{2,4,6\}\), what will be the number of ordered pairs in (f)?
A. (3)
किसी भी फलन में ordered pairs की संख्या domain के elements की संख्या के बराबर होती है। यहां (|A|=3), इसलिए pairs (3) हैं। / In any function, the number of ordered pairs equals the number of elements in the domain. Here (|A|=3), so there are (3) pairs.
Login to save your score, XP, coins and progress.
A. यह constant function हैIt is a constant function
हर input की image (2) है, इसलिए यह constant function है। एक ही output बार-बार आना function को invalid नहीं बनाता। / Every input has image (2), so it is a constant function. Repeated output does not make a function invalid.
Login to save your score, XP, coins and progress.
Which relation is the identity function from \(A=\{1,2,3,4\}\) to \(B=\{1,2,3,4\}\)?
A. \(R=\{(1,1),(2,2),(3,3),(4,4)\}\)
identity function में हर \(x\in A\) की image वही (x) होती है। इसे (I_A(x)=x) से पहचानें। / In an identity function, every \(x\in A\) maps to the same (x). Identify it by (I_A(x)=x).
Login to save your score, XP, coins and progress.
If \(A=\{1,2,3\}\), \(B=\{2,4,6\}\), and \(f=\{(1,2),(2,4),(3,6)\}\), what is the domain?
A. \({1,2,3})
domain first coordinates का set है और यहां \(A=\{1,2,3\}\) है। ordered pairs और domain को अलग-अलग पहचानें। / The domain is the set of first coordinates, and here \(A=\{1,2,3\}\). Distinguish ordered pairs from the domain.
Login to save your score, XP, coins and progress.
Which statement is always true if \(f:A\to B\) is a function?
A. हर \(a\in A\) के लिए \(f(a)\in B\) unique होता हैFor every \(a\in A\), \(f(a)\in B\) is unique
function में हर domain element की unique image codomain में होती है। यह जरूरी नहीं कि पूरा codomain range बन जाए। / In a function, every domain element has a unique image in the codomain. The whole codomain need not become the range.
Login to save your score, XP, coins and progress.
If (f(x)=x-2-4) and domain \(A=\{-3,-2,-1,0,1\}\), which is the range of (f)?
A. \({-4,-3,0,5})
outputs (5,0,-3,-4,-3) हैं, इसलिए distinct values ({-4,-3,0,5}) range हैं। set में repeated values नहीं लिखते। / The outputs are (5,0,-3,-4,-3), so distinct values ({-4,-3,0,5}) form the range. Repeated values are not written in a set.
Login to save your score, XP, coins and progress.
A. \({a,b})
actual images केवल (a) और (b) हैं। range को codomain से confuse न करें। / The actual images are only (a) and (b). Do not confuse range with codomain.
Login to save your score, XP, coins and progress.
Use Google login or mobile OTP. Admin can block users and control login providers.