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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 α and β are the roots of the equation x² − 5x + 4 = 0, what is the sum of (α + 2) and (β + 2)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf α and β are roots of x² − 3x + 2 = 0, which equation has 2α and 2β as roots?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf 1 is subtracted from each root of the equation \(x^2-4x-12=0\), what is the product of the resulting roots?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf each root of (x^2-4x-12=0) is increased by (1), which monic equation is formed from the new roots?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf (\alpha) and (\beta) are roots of (x^2-Sx+P=0), what is (\alpha^2+\beta^2) equal to?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf the difference of roots of (x^2-5x+q=0) is (1), what is the value of (q)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf one root of (x^2+ax+a=0) is (1), what will be the other root?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf the roots of (x^2+px+16=0) are equal and both negative, what is the value of (p)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf (\alpha) and (\beta) are roots of (2x^2-5x+2=0), what is the value of (\frac{1}{\alpha^2}+\frac{1}{\beta^2})?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf (\alpha) and (\beta) are roots of (x^2-3x-10=0), what is the value of (\alpha^2\beta+\alpha\beta^2)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf (\alpha) and (\beta) are roots of (x^2-6x+8=0), what is the value of ((\alpha+1)(\beta+1))?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf the roots of x² − (a + 1)x + a = 0 are 1 and a, why is this correct?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsHow many real roots does the equation \(x^2+2x+5=0\) have?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf the quadratic equation \(kx^2-6x+9=0\) has equal roots and \(k\ne0\), what is the value of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf the roots of the quadratic equation \(x^2-4x+k=0\) are real and equal, what is the value of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf (\alpha) and (\beta) are roots of (x^2-9x+20=0), what is the value of (\alpha^3+\beta^3)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsWhat is the sum of reciprocals of the roots of (2x^2-7x+3=0)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf the roots of the quadratic equation \(x^2+6x+k=0\) are \(-2\) and \(-4\), what is the value of \(k\)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf the roots of the quadratic equation \(x^2+px+q=0\) are \(-2\) and \(-5\), what is the value of \(p+q\)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf the roots of the quadratic equation x² − (m + 2)x + 12 = 0 are 3 and 4, what is the value of m?Class 10Quadratic EquationsRoots of a Quadratic EquationHard