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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।

MathematicsWhat is the value of \(sin^{-1}\left(\frac{3}{5}\right)+\cos^{-1}\left(\frac{3}{5}\right)\)?Class 12Inverse Trigonometric FunctionsProperties of inverse trigonometric functionsEasy MathematicsWhat is the value of \(\sin^{-1}x+\cos^{-1}x\) when \(x\in\left[-1,1\right]\)?Class 12Inverse Trigonometric FunctionsIntroduction to inverse trigonometric functionsEasy MathematicsOn (S={1,2,3,4,6,12}), (a*b=\operatorname{lcm}(a,b)). What is the identity element of this operation?Class 12Relations and FunctionsBinary operationsExpert 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 MathematicsOn (\mathbb{R}), (a*b=a+b-1). What is the identity element of this operation?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}), (a*b=a+b+\lambda). For which (\lambda) will the identity be (5)?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}\setminus{1}), (a*b=a+b-ab). What is the identity element?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}), (a*b=a+b+1). Which element acts as the identity that allows every real number to have an inverse?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{Q}\setminus{0}), (a*b=\frac{ab}{2}). What is the identity element of this operation?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{N}), (a*b=\min(a,b)). What is the correct conclusion about the identity element?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{N}), (a*b=\max(a,b)). Which statement about this operation is correct?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (A=\mathbb{R}\setminus{-1}), (a*b=a+b+ab) is defined. Which statement about this operation is correct?Class 12Relations and FunctionsBinary operationsExpert 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 operationsExpert MathematicsOn real numbers, (a*b=2a+3b) is defined. Does this operation have an identity element?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn real numbers, (a*b=a+b+\lambda ab) is defined. For which (\lambda) will (0) be the identity element?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn positive integers, (a*b=\gcd(a,b)) is defined. Does this operation have an identity element?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn positive integers, (a*b=\operatorname{lcm}(a,b)) is defined. What is the identity element of this operation?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn real numbers, (a*b=a+b+1) is defined. What will be the inverse of (a) in this operation?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn real numbers, (a*b=a+b-3) is defined. Which statement is correct?Class 12Relations and FunctionsBinary operationsExpert 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 operationsExpert