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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}), (a*b=a+b-ab). Which statement is correct?Class 12Relations and FunctionsBinary operationsLevel 30Expert MathematicsOn real numbers, (a*b=a+b+ab) is defined. If ((x*1)=5), what is the value of (x)?Class 12Relations and FunctionsBinary operationsLevel 29Expert MathematicsOn real numbers, (a*b=a+b+ab) is defined. If (a*b=a), what is the value of (b), where (a\neq -1)?Class 12Relations and FunctionsBinary operationsLevel 29Expert MathematicsOn real numbers, (a*b=a+b+ab) is defined. Why is (a*b=b*a) true?Class 12Relations and FunctionsBinary operationsLevel 29Expert MathematicsOn real numbers, (a*b=a+b+ab) is defined. Which is the most suitable reason for this operation being associative?Class 12Relations and FunctionsBinary operationsLevel 29Expert MathematicsOn real numbers, (a*b=a+b+ab) is defined. What is the simplified form of (a*(b*c))?Class 12Relations and FunctionsBinary operationsLevel 29Expert MathematicsOn (A=\mathbb{R}\setminus{1}), (a*b=a+b-ab) is defined. Choose the correct statement about this operation on this set.Class 12Relations and FunctionsBinary operationsLevel 29Expert MathematicsOn real numbers, (a*b=a+b+ab) is defined. If (a*b=0), how will (b) be written in terms of (a), where (a\neq -1)?Class 12Relations and FunctionsBinary operationsLevel 29Expert MathematicsOn real numbers, (a*b=a+b+mab) is defined. For which (m) will the inverse of (2) be (-1)?Class 12Relations and FunctionsBinary operationsLevel 29Expert MathematicsOn real numbers, (a*b=a+b+m) is defined. If the identity element is (5), what is the value of (m)?Class 12Relations and FunctionsBinary operationsLevel 29Expert MathematicsOn real numbers, (a*b=2a+3b) is defined. Does this operation have an identity element?Class 12Relations and FunctionsBinary operationsLevel 29Expert MathematicsOn real numbers, (a*b=a+b+ab) is defined. What is the solution of (x*2=7)?Class 12Relations and FunctionsBinary operationsLevel 29Expert MathematicsOn real numbers, (a*b=a+b-4ab) is defined. Choose the correct statement about (a=\frac{1}{4}).Class 12Relations and FunctionsBinary operationsLevel 29Expert MathematicsOn real numbers, (a*b=a+b-ab) is defined. Which element does not have an inverse?Class 12Relations and FunctionsBinary operationsLevel 29Expert MathematicsOn real numbers, (a*b=a+b+\lambda ab) is defined. If (\lambda\neq 0), which element will not have an inverse?Class 12Relations and FunctionsBinary operationsLevel 29Expert MathematicsOn real numbers, (a*b=a+b+\lambda ab) is defined. For which (\lambda) will (0) be the identity element?Class 12Relations and FunctionsBinary operationsLevel 29Expert MathematicsOn real numbers, (a*b=a+b+ab) is defined. Evaluating (1*2*3) from left to right as ((1*2)*3), what is the value?Class 12Relations and FunctionsBinary operationsLevel 29Expert MathematicsOn real numbers, (a*b=a+b+ab) and (f(x)=x+1) are given. What is (f(a*b)) equal to?Class 12Relations and FunctionsBinary operationsLevel 29Expert MathematicsOn real numbers, (a*b=a^2+b^2) is defined. Choose the correct conclusion about this operation.Class 12Relations and FunctionsBinary operationsLevel 29Expert MathematicsOn real numbers, (a*b=a+b-ab) is defined. What is the inverse of (3) with respect to this operation?Class 12Relations and FunctionsBinary operationsLevel 29Expert