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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।

MathematicsWhat is the standard quadratic form of (x + 2)/(x − 1) + (x − 1)/(x + 2) = 5/2?Class 10Quadratic EquationsIntroduction to Quadratic EquationsHard MathematicsIf the equation \(x^2-2ax+a^2-36=0\) is given, what is the difference between its larger and smaller roots?Class 10Quadratic EquationsIntroduction to Quadratic EquationsExpert MathematicsAfter simplification, which of the following equations does not remain a quadratic equation in x?Class 10Quadratic EquationsIntroduction to Quadratic EquationsExpert MathematicsIf α and β are roots of x² − 7x − 30 = 0, what is αβ + 4α + 4β?Class 10Quadratic EquationsRoots of a Quadratic EquationMedium MathematicsIf \(\alpha\) and \(\beta\) are the roots of the quadratic equation \(x^2-15x+44=0\), what is the value of \((\alpha+\beta)^2\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsExpert MathematicsA right triangle has a base of (x + 4) units, a height of (x + 8) units, and an area of 72 square units. Which quadratic equation represents this information?Class 10Quadratic EquationsIntroduction to Quadratic EquationsExpert MathematicsIf the roots of (x^2+px+q=0) are (5) and (p), what is the value of (p)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsExpert MathematicsThe roots of the equation \(x^2-8x+5=0\) are \(\alpha\) and \(\beta\). What is the value of \(\alpha+\beta+4\alpha\beta\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsExpert MathematicsWhat is the standard form of ((x+5)^2+(x-6)^2=(x+2)^2)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsExpert MathematicsIf a = 3 is substituted, what type of statement does (a − 3)x² + (a² − 9)x + 11 = 0 become?Class 10Quadratic EquationsIntroduction to Quadratic EquationsExpert MathematicsIf the roots of the quadratic equation \(x^2+bx+c=0\) are \(-5\) and \(11\), what is the value of \(b+c\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsExpert MathematicsWhat is the sum of cubes of the roots of (x^2-6x-16=0)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsExpert MathematicsIf in \(5x^2+kx+45=0\), the product of roots is (-3) times the sum of roots, what is (k)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsExpert MathematicsWhich quadratic equation has sum of roots (0) and product (-144)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsExpert MathematicsIf (x=-2) is not a root of (kx^2+5x+6=0), what condition must (k) satisfy?Class 10Quadratic EquationsIntroduction to Quadratic EquationsExpert MathematicsThe roots of (x^2+px+36=0) are equal and positive. What is the value of (p)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsExpert MathematicsIf one root of (x^2+mx+49=0) is the reciprocal of the other, what can be said about (m)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsExpert MathematicsIf k is a real number, what is the nature of the roots of the equation 25x² + 40kx + 16k² = 0?Class 10Quadratic EquationsIntroduction to Quadratic EquationsExpert MathematicsIf (\alpha,\beta) are roots of (x^2-13x+42=0), what is (\frac{1}{\alpha}+\frac{1}{\beta})?Class 10Quadratic EquationsIntroduction to Quadratic EquationsExpert MathematicsTwo numbers have sum (17) and product (72). They can be roots of which quadratic equation?Class 10Quadratic EquationsIntroduction to Quadratic EquationsExpert