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

MathematicsOn \(\mathbb{R}\setminus{-2}\), \(a*b=a+b+\frac{ab}{2}\). What is the identity element of this operation?Class 12Relations and FunctionsBinary operationsExpert MathematicsLet (f:[-2,2]\to[0,4]), where (f(x)=x^2). Which statement is correct about (f)?Class 12Relations and FunctionsReflexive relationExpert MathematicsIf (f:[1,\infty)\to[0,\infty)) where (f(x)=x^2-2x+1), which option is correct for (f)?Class 12Relations and FunctionsReflexive relationExpert MathematicsWhy is (f:[0,1]\to[0,2]), (f(x)=x^2), not onto?Class 12Relations and FunctionsOnto functionExpert MathematicsIf \(f:\left[-\frac{\pi}{2},\frac{\pi}{2}\right]\to[-1,1]\), \(f(x)=\sin x\), choose the correct option about (f).Class 12Relations and FunctionsOnto functionExpert MathematicsFor the function (f:[-1,\infty)\to[0,\infty)), (f(x)=x^2+2x+1), which conclusion is correct?Class 12Relations and FunctionsOnto functionExpert MathematicsChoose the correct statement for (f:[0,1]\to[0,1]), (f(x)=x^2).Class 12Relations and FunctionsOnto functionExpert MathematicsIf \(f:\left[0,\frac{\pi}{2}\right]\to[-1,1]\), \(f(x)=\sin x\), why is (f) not onto?Class 12Relations and FunctionsOnto functionExpert MathematicsIf (f:[1,\infty)\to[0,\infty)), (f(x)=x^2-1), what is the correct reason for onto property?Class 12Relations and FunctionsOnto functionExpert MathematicsIf (f:[-2,3]\to[c,d]), (f(x)=x^2-2x+5) is onto and (c,d) are the actual range endpoints, what is ([c,d])?Class 12Relations and FunctionsOnto functionExpert MathematicsIf (f:[0,2]\to[0,5]) and (f(x)=x^2), why is (f) not onto?Class 12Relations and FunctionsOnto functionHard MathematicsChoose the correct statement about (f:[-1,1]\to[0,1]), (f(x)=x^2).Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:[0,\infty)\to [0,\infty)) is defined by (f(x)=x^2), what type is (f)?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:[-1,1]\to[0,1]), (f(x)=x^2), which statement is correct?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:[4,\infty)\to[1,\infty)), (f(x)=|x-4|+1), choose the correct option.Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:[0,\infty)\to\mathbb{R}), (f(x)=x^2+2x), why is (f) not onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:[0,\infty)\to[0,\infty)), (f(x)=x^2+2x), what can be a preimage of (y\ge0) to show that (f) is onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:[0,\infty)\to\mathbb{R}), (f(x)=\sqrt[3]{x+8}), why is it not onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:[0,\pi]\to[-1,1]), (f(x)=\cos x), what is the main reason that (f) is onto?Class 12Relations and FunctionsOnto functionMedium MathematicsIf (f:[0,\infty)\to\mathbb{R}), (f(x)=x^3-3x), why is (f) not onto?Class 12Relations and FunctionsOnto functionMedium