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Class 12 · Mathematics · Expert
→If (f:\mathbb{R}\setminus{0}\to\mathbb{R}), (f(x)=\ln(x^2)), why is (f) not one-one?
Class 12 · Mathematics · Hard
→If (f:[-2,2]\to\mathbb{R}) and (f(x)=x^2), what is the correct statement about (f)?
Class 12 · Mathematics · Hard
→If \(f:[-\pi,\pi]\to\mathbb{R}\), \(f(x)=\cos x\), choose the correct option.
Class 12 · Mathematics · Hard
→A relation (R) on a set (A) is reflexive and symmetric but not transitive. Which conclusion about (R) is correct?
Class 12 · Mathematics · Medium
→If \(f(x)=4x-1\) and \(f(a)=19\), what is the value of \(a\)?
Class 12 · Mathematics · Expert
→Which of the following relations on the set of integers \(\mathbb{Z}\) is an equivalence relation?
Class 12 · Mathematics · Expert
→On the set (A={1,2,3,4}), the relation (R={(a,b):a-b\text{ is divisible by }2}) is given. Choose the correct statement about this relation.
Class 12 · Mathematics · Medium
→Which option gives a relation that is reflexive and symmetric but not necessarily transitive?
Class 12 · Mathematics · Medium
→Which option has all three properties: reflexive, symmetric, and transitive?
Class 12 · Mathematics · Medium
→Which option gives a symmetric relation on (A={1,2,3})?
Class 12 · Mathematics · Medium
→Which relation is transitive but generally not symmetric?
Class 12 · Mathematics · Medium
→Which relation is reflexive but generally not symmetric?
Class 12 · Mathematics · Medium
→On the set (A={1,2,3}), the relation (R={(1,1),(2,2),(3,3),(1,2),(2,1)}) is given. Which pair must be added to make it an equivalence relation?
Class 12 · Mathematics · Easy
→If both (aRb) and (bRa) are true, which property does this indicate?
Class 12 · Mathematics · Easy
→What is the correct meaning of the symmetric property in an equivalence relation?
Class 12 · Mathematics · Easy
→If a relation is symmetric and transitive but not reflexive, what is the correct conclusion about equivalence relation?
Class 12 · Mathematics · Easy
→If a relation is reflexive and transitive but not symmetric, what will it be?
Class 12 · Mathematics · Easy
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,3)}). Why is it not an equivalence relation?
Class 12 · Mathematics · Easy
→If (R) is an equivalence relation and ((x,y)\in R), which pair must belong to (R)?
Class 12 · Mathematics · Easy
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