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Class 11 · Mathematics
→If (A={1,2,3}), (B={1,2,3}), and (R={(x,y):x+y\text{ is even}}), why is (R) not a function?
Class 11 · Mathematics
→Which option gives a valid function (f:\mathbb{N}\to\mathbb{N})?
Class 11 · Mathematics
→If f: R → R is given by f(x) = x² + 2x + 5, what is the range of f?
Class 11 · Mathematics
→If (f:{1,2,3,4}\to{1,2,3,4}) is given by (f(x)=5-x), which statement about the inverse relation (f^{-1}) is correct?
Class 11 · Mathematics
→Let \(R=\{(1,a),(2,b),(3,a)\}\) be a relation from \(A=\{1,2,3\}\) to \(B=\{a,b,c\}\). Which of the following statements is correct?
Class 11 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is to be defined by (f(x)=\frac{1}{x^2+ax+1}), which condition on (a) makes it a function on all of (\mathbb{R})?
Class 11 · Mathematics
→The relation (R={(x,y):x^2+y^2=1,\ x\in{-1,0,1},\ y\in{-1,0,1}}) is considered from (X={-1,0,1}) to (Y={-1,0,1}). Why is it not a function?
Class 11 · Mathematics
→If (f:A\to B) is a function and its graph is a subset of (A\times B), which statement is always true?
Class 11 · Mathematics
→If (A=\emptyset) and (B=\emptyset), what is the number of functions from (A) to (B)?
Class 11 · Mathematics
→The function (f:[-1,3]\to\mathbb{R}) is given by (f(x)=|x-1|+|x-3|). What is its range?
Class 11 · Mathematics
→Which option is not a function from (A={1,2,3,4}) to (B={a,b,c}) even though every element of (A) occurs as a first component?
Class 11 · Mathematics
→If \(A=\{1,2,3\}\) and \(B=\{0,1,2\}\), how many functions from \(A\) to \(B\) satisfy \(f(1)<f(2)<f(3)\)?
Class 11 · Mathematics
→If (f:\mathbb{R}-{2}\to\mathbb{R}) is given by (f(x)=\frac{x^2-4}{x-2}), what is the range?
Class 11 · Mathematics
→What is the correct conclusion about (R={(x,y):xy=6,\ x\in{1,2,3,6},\ y\in{1,2,3,6}})?
Class 11 · Mathematics
→If f: Z → Z is given by f(n) = (n² + n)/2, which statement is correct?
Class 11 · Mathematics
→If \(A=\{a,b,c,d\}\) and \(B=\{1,2,3\}\), how many functions from \(A\) to \(B\) have range exactly \(\{1,2\}\)?
Class 11 · Mathematics
→A function (f:\mathbb{R}\to\mathbb{R}) is to be defined by (f(x)=\sqrt{ax^2+4}). What is the correct condition on (a) for it to be a function on all of (\mathbb{R})?
Class 11 · Mathematics
→The relation \(R=\{(x,y):y^2=x+1,\ x\in X,\ y\in Y\}\), where \(X=\{0,3,8\}\) and \(Y=\{-3,-2,-1,1,2,3\}\), is considered from \(X\) to \(Y\). What is the correct conclusion?
Class 11 · Mathematics
→If (A={1,2,3,4}) and (B={0,1,2}), how many functions from (A) to (B) satisfy (f(1)=f(2)) and (f(3)\ne f(4))?
Class 10 · Mathematics
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