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Quadratic Equations

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

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 is formed from this information?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsIf \(\alpha\) and \(\beta\) are the roots of the quadratic equation \(x^2-16x+63=0\), what is the value of \((\alpha-7)(\beta-7)\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsIf the roots of (x^2+px+q=0) are (5) and (p), what is the value of (p)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert 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 EquationsLevel 29Expert MathematicsIf \(x=-2\) is a root of the equation \(x^2+(5k-2)x+4k=0\), what is the value of \(k\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsWhat is the standard form of ((x+5)^2+(x-6)^2=(x+2)^2)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsIf a = 3 is substituted, what type of statement does (a − 3)x² + (a² − 9)x + 11 = 0 become?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert 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 EquationsLevel 29Expert MathematicsWhat is the sum of cubes of the roots of (x^2-6x-16=0)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert 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 EquationsLevel 29Expert MathematicsWhich quadratic equation has sum of roots (0) and product (-144)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsIf (x=-2) is not a root of (kx^2+5x+6=0), what condition must (k) satisfy?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsThe roots of (x^2+px+36=0) are equal and positive. What is the value of (p)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert 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 EquationsLevel 29Expert 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 EquationsLevel 29Expert MathematicsIf the identity \\((x+a)^2=x^2-20x+100\\) is true for all \\(x\\), what is the value of \\(a\\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsIf (\alpha,\beta) are roots of (x^2-13x+42=0), what is (\frac{1}{\alpha}+\frac{1}{\beta})?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsTwo numbers have sum (17) and product (72). They can be roots of which quadratic equation?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsA rectangle has length \(x+9\) units and breadth \(x-6\) units. If its area is 130 square units, which quadratic equation is formed?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsIn which option will the sum of roots be negative and the product of roots be negative?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert