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Introduction To Relations

Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf \(A=\{1,2,3\}\), \(B=\{1,2,3,4\}\), and \(R=\{(x,y)\in A\times B:y=x+2\}\), what is \(R\)?Class 12Relations and FunctionsIntroduction to RelationsEasy MathematicsIf A = {x ∈ R : 2x − 1 ≥ 5}, what is the interval form of A?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f(x)=\sqrt{x+1}) and (g(x)=\frac{1}{x-2}), what is the real domain of ((g\circ f)(x))?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f:A\to B) and (g:B\to A) satisfy (g\circ f=I_A) and (f\circ g=I_B), what is correct about (g)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f:A\to B) is bijective and (A) has (9) elements, how many elements will (B) have?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f:R\to R), (f(x)=|x+3|+2), why is it not onto?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f:R\to R), (f(x)=|x+3|+2), what is the range?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f(x)=x^2-7x+12), which of (f(3), f(4), f(5)) are zero?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f:R\to R), (f(x)=x^2-4), what is (f^{-1}({12}))?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f:[0,\infty)\to[5,\infty)), (f(x)=x^2+5), what is (f^{-1}(14))?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f:R\to R), (f(x)=x^3-7), what is (f^{-1}(x))?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f(x)=x^2-9) and (g(x)=\sqrt{x+9}), what is ((g\circ f)(x))?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf \(f(x)=x+2\), \(g(x)=2x-1\), and \(h(x)=x^2\), what is the value of \((h\circ g\circ f)(1)\)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f:A\to B), (A={1,2,3,4}), (B={a,b,c}), and (f={(1,a),(2,b),(3,b),(4,c)}), what type of function is (f)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f(x)=x^2) and the domain is ({-4,-1,0,1,4}), how many elements are in the range?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f(x)=\frac{x-3}{x+1}), what is the real range?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f(x)=\frac{x-3}{x+1}), which value will not be in the range of (f)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f:R\to R), (f(x)=kx+6), is onto, what is the correct condition on (k)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f:R\to R), (f(x)=kx+8), is one-one, what condition is needed on (k)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf \(f(x)=x^2+kx+1\) and \(f(2)=15\), what is the value of \(k\)?Class 12Relations and FunctionsIntroduction to RelationsMedium