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Class 10 Mcq

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf \(k\) is a real constant, what is the nature of the roots of the equation \(9x^2+12kx+4k^2=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsHard MathematicsIf (\alpha,\beta) are roots of (x^2-7x+12=0), what is (\frac{1}{\alpha}+\frac{1}{\beta})?Class 10Quadratic EquationsIntroduction to Quadratic EquationsHard MathematicsTwo numbers have sum (13) and product (40). They can be roots of which quadratic equation?Class 10Quadratic EquationsIntroduction to Quadratic EquationsHard MathematicsWhich of the following is a quadratic equation in one variable?Class 10Quadratic EquationsIntroduction to Quadratic EquationsHard MathematicsIn which option will the sum of roots be negative and the product of roots be positive?Class 10Quadratic EquationsIntroduction to Quadratic EquationsHard MathematicsIf the two roots of the quadratic equation \(x^2+bx+49=0\) are equal and each root is \(-7\), what is the value of \(b\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsHard MathematicsIf \(x^2-14x+c=0\) is a perfect-square quadratic equation, what is the value of \(c\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsHard MathematicsWhat is the difference between the roots of the equation \(2x^2-9x+10=0\), taking the larger root minus the smaller root?Class 10Quadratic EquationsIntroduction to Quadratic EquationsHard MathematicsWhich of the following statements is correct for the equation \\(x^2-6x+11=0\\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsHard MathematicsIf the roots of a monic quadratic equation are r and 2r, and their sum is 9, what is the constant term?Class 10Quadratic EquationsRoots of a Quadratic EquationMedium MathematicsWhat is the standard form ax² + bx + c = 0 of the equation (x + 2)(x + 5) + (x − 1)(x + 4) = 60?Class 10Quadratic EquationsIntroduction to Quadratic EquationsHard MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2+7x+10=0\), what is the value of \((\alpha+2)(\beta+2)\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsHard MathematicsWhat is the sum of squares of the roots of \(3x^2+8x+4=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsHard MathematicsIf one root of x² + ax + 18 = 0 is 2, what are the other root and a?Class 10Quadratic EquationsRoots of a Quadratic EquationMedium MathematicsWhich equation has discriminant −11?Class 10Quadratic EquationsNature of RootsMedium MathematicsWhat is the sum of reciprocals of the roots of (3x^2-10x+7=0)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsHard MathematicsIf the roots of the quadratic equation \(x^2-2kx+25=0\) are equal, what are the possible values of \(k\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsHard MathematicsWhich monic quadratic equation has sum of roots (-9) and product (20)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsHard MathematicsIf x = -4 is a root of the equation 2x² + px − 12 = 0, what is the value of p?Class 10Quadratic EquationsIntroduction to Quadratic EquationsHard MathematicsWrite (\frac{x^2+1}{3}-\frac{x-2}{2}=5) in standard form with integer coefficients.Class 10Quadratic EquationsIntroduction to Quadratic EquationsHard