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Class 12 · Mathematics
→If (A) has (4) elements and (B) has (4) elements, how many functions from (A) to (B) are both one-one and onto?
Class 12 · Mathematics
→If (f:A\to B) is a one-one function and (|A|=5), (|B|=4), which statement is correct?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) and (g:\mathbb{R}\to\mathbb{R}) are given by (f(x)=3x+1), (g(x)=x-4), what is the value of ((f\circ g)(2))?
Class 12 · Mathematics
→If (f:\mathbb{R}\setminus{1}\to\mathbb{R}\setminus{2}) is defined by (f(x)=\frac{2x+3}{x-1}), which value can never occur as (f(x))?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=x^2+1), why is (f) not onto?
Class 12 · Mathematics
→If (f:\mathbb{R}\to[0,\infty)) is defined by (f(x)=x^2), which statement about (f) is correct?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=x^2), why is (f) not one-one?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x^3+x), which statement about (f) is correct?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) and (g:\mathbb{R}\to\mathbb{R}) are given by (f(x)=x+3), (g(x)=x^2), what is ((g\circ f)(x))?
Class 12 · Mathematics
→If (f:A\to B), (A={1,2,3}), and (B={a,b}), how many functions are possible from (A) to (B)?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=2x-5), what is (f^{-1}(x))?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x^2+2x+3), which statement about the range of (f) is correct?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6}), relation (R) has classes ({1,6}), ({2,3,5}), and ({4}). Which pair definitely will not be in (R)?
Class 12 · Mathematics
→On (A=\mathbb{R}), (xRy) if (\sin x=\sin y). What type of relation is this?
Class 12 · Mathematics
→If (A) has (5) elements and (R=A\times A), how many equivalence classes will (R) have?
Class 12 · Mathematics
→If (A) has (5) elements and (R) is the equality relation, how many pairs are in (R)?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (aRb) if (a) and (b) have the same remainder on division by (2). Which pair will not be in (R)?
Class 12 · Mathematics
→On (A=\mathbb{Z}), (aRb) if (a-b) is even. What is true about ([1]) and ([2])?
Class 12 · Mathematics
→On (A={1,2,3,4,5,6,7,8}), (aRb) if (a) and (b) lie in the same block among ({1,2}), ({3,4,5}), ({6,7,8}). How many pairs are in the relation?
Class 12 · Mathematics
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