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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।

MathematicsIf in \(4x^2+kx+28=0\), the product of roots is (-2) times the sum of roots, what is (k)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsWhich quadratic equation has sum of roots (0) and product (-121)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsIf (x=2) is not a root of (kx^2-7x+3=0), what condition must (k) satisfy?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsThe roots of (x^2+px+25=0) are equal and positive. What is the value of (p)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsIf one root of (x^2+mx+36=0) is the reciprocal of the other, what can be said about (m)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsWhat is the nature of the roots of the quadratic equation \(16x^2-24kx+9k^2=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsIf \\(x+a\\)^2=x^2+18x+81 is an identity, what is the value of \\(a\\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsIf (\alpha,\beta) are roots of (x^2-11x+30=0), what is (\frac{1}{\alpha}+\frac{1}{\beta})?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsTwo numbers have sum (15) and product (54). They can be roots of which quadratic equation?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsA rectangle has length \((x+8)\) and breadth \((x-5)\). If its area is \(104\) square units, which quadratic equation correctly represents this situation?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsIn which option will the sum of roots be positive and the product of roots be negative?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsIf both roots of the quadratic equation \\(x^2+bx+64=0\\) are equal and each root is \\(-8\\), what is the value of \\(b\\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsWhich condition is essential for an equation of the form \(ax^2+bx+c=0\) to be called a quadratic equation?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsWhat is the absolute difference between the roots of \(3x^2-14x+16=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsIf one root of the equation \(x^2-(m+5)x+5m=0\) is \(5\), what is the other root?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsWhich statement correctly describes the nature of the roots of \(x^2-8x+17=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsIf the roots of a monic quadratic equation are r and 3r, and their sum is 16, what is the constant term?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 28Medium MathematicsWhich of the following is a quadratic equation, even though it has terms involving the variable on both sides?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsIf (\alpha) and (\beta) are the roots of the equation (x^2-9x+18=0), what is the value of ((\alpha-3)(\beta-3))?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert MathematicsWhat is the sum of squares of the roots of \(5x^2+6x+1=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 28Expert