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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}), the operation (a*b=a+b-2ab) is defined. What is the inverse of (3)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}), (a*b=a+b-ab). Which is its identity element?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A=\mathbb{R}\setminus{1}), (a*b=a+b-ab). Why is this operation closed in (A)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn integers, (a*b=a+b-2). What is the inverse of (5)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn integers, (a*b=a+b-2). Which is the identity element?Class 12Relations and FunctionsBinary operationsHard MathematicsOn real numbers, (a*b=ka+kb). For which (k) will this operation be associative?Class 12Relations and FunctionsBinary operationsHard MathematicsOn real numbers, (a*b=2a+2b). In which property does this operation fail?Class 12Relations and FunctionsBinary operationsHard MathematicsOn real numbers, (a*b=ab+a+b+1). Does this operation have an identity element?Class 12Relations and FunctionsBinary operationsHard MathematicsOn real numbers, (a*b=a+b+ab+1). Which simple form is connected to this operation?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A=\mathbb{R}\setminus{-1}), (a*b=a+b+ab). Why is this operation closed in (A)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A=\mathbb{R}\setminus{-1}), (a*b=a+b+ab). What is the inverse of (a) under this operation?Class 12Relations and FunctionsBinary operationsHard MathematicsOn real numbers, (a*b=a+b+2). Which is the inverse of (a) under this operation?Class 12Relations and FunctionsBinary operationsHard MathematicsOn integers, (a*b=a+b+ab). For which (a) will inverses exist in integers under this operation?Class 12Relations and FunctionsBinary operationsHard MathematicsOn integers, (a*b=a+b+ab). Which is the identity element of this operation?Class 12Relations and FunctionsBinary operationsHard MathematicsOn integers, (a*b=a+b+ab) is given. Is this operation closed on integers?Class 12Relations and FunctionsBinary operationsHard MathematicsOn positive real numbers, (a*b=\frac{ab}{2}). Which is the inverse of (a)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (A=\mathbb{R}\setminus{1}), (a*b=a+b-ab). What is the inverse of (a)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn the set (A=\mathbb{R}\setminus{1}), the operation (a*b=a+b-ab) is given. Which element is the identity for this operation?Class 12Relations and FunctionsBinary operationsHard MathematicsIf (f:\mathbb{R}\to[0,\infty)) and (f(x)=x^2+|x|), is (f) onto or not?Class 12Relations and FunctionsOnto functionHard MathematicsThe function (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x^2) if (x<0) and (f(x)=x+1) if (x\ge0). What is the correct statement about (f)?Class 12Relations and FunctionsOne-one functionHard