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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।

MathematicsIf \(\theta=\frac{m\pi}{18}\) lies on the negative (x)-axis and \(0<\theta<4\pi\) then what is the sum of possible values of (m)?Class 12Trigonometric FunctionsAnglesExpert MathematicsOn (\mathbb{R}), (a*b=a+b+\alpha ab). If the inverses of (2) and (3) are (-1) and (-\frac{3}{2}) respectively, what is (\alpha)?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}), (a*b=a+\mu b). Which values of (\mu) make this operation associative?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}), (a*b=a+\mu b). The operation will be commutative only for what value of (\mu)?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}), (a*b=a+b+kab). Which value of (k) makes this operation associative?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn real numbers, (a*b=a+b+mab) is defined. For which (m) will the inverse of (2) be (-1)?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=a+b+\lambda ab) is defined. If (\lambda\neq 0), which element will not have an inverse?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 real numbers, (a*b=a+b+kab) is defined. If the product of (2) and (3) is (11), what is the value of (k)?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}), (a*b=a+b+c). What will be the inverse of an element (p)?Class 12Relations and FunctionsBinary operationsHard MathematicsIf (a*b=a+b+kab) on (\mathbb{R}), for which values of (k) is the operation associative?Class 12Relations and FunctionsBinary operationsHard MathematicsIf (a*b=ka+b) on (\mathbb{R}) is commutative, what is the value of (k)?Class 12Relations and FunctionsBinary operationsHard MathematicsOn (\mathbb{R}), (a*b=a+b+mab). If the inverse of (2) is (-1), what is the value of (m)?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}), (a*b=a+b+\lambda ab). For which (\lambda) will the element (2) have no inverse?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}), (a*b=a+b+\lambda). For which (\lambda) will the identity element be (5)?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}\setminus{-\frac{1}{2}}), (a*b=a+b+2ab). What is the inverse of (a)?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}\setminus{-\frac{1}{k}}), (a*b=a+b+kab), where (k\neq 0). What is the identity element?Class 12Relations and FunctionsBinary operationsExpert MathematicsOn (\mathbb{R}), (a*b=a+b+kab). For which values of (k) is the operation associative?Class 12Relations and FunctionsBinary operationsExpert