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Class 11 · Mathematics · Expert
→If (f:A\to B) is a function and (a_1,a_2\in A) with (a_1\ne a_2), which statement is always true?
Class 11 · Mathematics · Expert
→If (A=\emptyset) and (B={5,6}), how many ordered pairs are in the graph of the function from (A) to (B)?
Class 11 · Mathematics · Expert
→The function (f:[-2,4]\to\mathbb{R}) is given by (f(x)=|x+1|+|x-3|). What is its range?
Class 11 · Mathematics · Medium
→In which option is the relation not a function from A = {0,1,2,3} to B = {p,q,r}, even though every element of A appears as a first component?
Class 11 · Mathematics · Expert
→If (A={1,2,3,4}) and (B={0,1,2,3}), how many functions from (A) to (B) satisfy (f(1)<f(2)) and (f(3)=f(4))?
Class 11 · Mathematics · Expert
→If (f:\mathbb{R}-{3}\to\mathbb{R}) is given by (f(x)=\frac{x^2-9}{x-3}), what is the range of (f)?
Class 11 · Mathematics · Expert
→Which statement is correct about (R={(x,y):x+y=7,\ x\in{1,2,3,4},\ y\in{3,4,5,6}})?
Class 11 · Mathematics · Expert
→If (f:\mathbb{Z}\to\mathbb{Z}) is given by (f(n)=\frac{n^3-n}{3}), which statement is correct?
Class 11 · Mathematics · Expert
→If (A={u,v,w,x,y}) and (B={1,2,3,4}), how many functions from (A) to (B) have range exactly ({2,4})?
Class 11 · Mathematics · Expert
→A function (f:\mathbb{R}\to\mathbb{R}) is to be defined by (f(x)=\sqrt{5-ax^2}). What is the correct condition on (a) for it to be a function on all of (\mathbb{R})?
Class 11 · Mathematics · Expert
→The relation (R={(x,y):y^2=2x,\ x\in{2,8,18},\ y\in{-6,-4,-2,2,4,6}}) is considered from the given domain to the codomain. What is the correct conclusion?
Class 11 · Mathematics · Expert
→If (A={1,2,3,4,5}) and (B={0,1,2}), how many functions from (A) to (B) satisfy (f(1)=f(2)=f(3))?
Class 12 · Accountancy · Easy
→What happens to the partnership relationship among the partners after the dissolution of the firm?
Class 12 · Accountancy · Easy
→After the dissolution of a partnership firm, which relationship among all the partners comes to an end?
Class 11 · Mathematics · Hard
→If f: R → R is given by f(x) = {x + 1 for x ≤ 2; x² for x ≥ 2}, why is it not a function?
Class 11 · Mathematics · Expert
→If (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=\begin{cases}x+1,&x\le2\x^2-1,&x\ge2\end{cases}), why is it not a function?
Class 11 · Mathematics · Expert
→Which statement is correct for (R={(x,y):y=\sqrt{x},\ x\in{0,1,4,9},\ y\in{0,1,2,3}})?
Class 11 · Mathematics · Expert
→If (f:A\to B) is a function and (|A|=3), (|B|=2), how many ordered pairs will the graph of (f) contain?
Class 11 · Mathematics · Expert
→If \(f:\{1,2,3,4\}\to\{1,2,3,4\}\) is defined by \(f(x)=x\) when \(x\) is odd and by \(f(x)=5-x\) when \(x\) is even, what is its range?
Class 11 · Mathematics · Expert
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