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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 the product of roots of (4x^2-3x+k=0) equals the sum of roots, what is (k)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsFor the quadratic equation \(ax^2+bx+c=0\), where \(a\ne0\), when will its roots be reciprocals of each other?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf the roots of the equation \(x^2+px+18=0\) are in the ratio \(1:2\) and both roots are negative, what is the value of \(p\)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf the roots of the equation \(x^2-9x+c=0\) are in the ratio \(1:2\), what is the value of \(c\)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf the sum of roots is (6) and the sum of their squares is (52), what is the product of roots?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf α and β are roots of x² + 4x − 21 = 0, what is the value of |α − β|?Class 10Quadratic EquationsRoots of a Quadratic EquationMedium MathematicsIf α and β are the roots of x² − 12x + 36 = 0, what is the value of α − β?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf α and β are the roots of x² − 6x + 5 = 0, what is the sum of (α + 3) and (β + 3)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf α and β are roots of x^2-4x+3=0, which equation has 3α and 3β as roots?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf 2 is subtracted from each root of the equation \(x^2-6x-16=0\), what is the product of the resulting roots?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf 1 is added to each root of the equation \(x^2-6x-16=0\), which monic equation is formed from the resulting roots?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf (\alpha) and (\beta) are roots of (x^2-Sx+P=0), what is ((\alpha-\beta)^2) equal to?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf the difference between the roots of x² - 7x + 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 (2), what will be the other root?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf the roots of x² + px + 25 = 0 are equal and both negative, what is the value of p?Class 10Quadratic EquationsRoots of a Quadratic EquationMedium MathematicsIf (\alpha) and (\beta) are roots of (3x^2-8x+4=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^2-4x-21=0), what is the value of (\alpha^2\beta+\alpha\beta^2)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-8x+12=0\), what is the value of \((\alpha+2)(\beta+2)\)?Class 10Quadratic EquationsRoots of a Quadratic EquationHard MathematicsIf roots of x² − (a+2)x + 2a = 0 are 2 and a, which reason is correct?Class 10Quadratic EquationsRoots of a Quadratic EquationMedium MathematicsHow many real roots does the equation \(x^2+4x+13=0\) have?Class 10Quadratic EquationsRoots of a Quadratic EquationHard