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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।

MathematicsWhich quadratic equation has sum of roots (0) and product (-169)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30ExpertMathematicsIf (x=3) is not a root of (kx^2-8x+5=0), what condition must (k) satisfy?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30ExpertMathematicsThe roots of (x^2+px+49=0) are equal and negative. What is the value of (p)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30ExpertMathematicsIf one root of (x^2+mx+64=0) is the reciprocal of the other, what can be said about (m)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30ExpertMathematicsWhat is the nature of the roots of the quadratic equation \(36x^2-60kx+25k^2=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30ExpertMathematicsIf \((x+a)^2 = x^2 + 28x + 196\), what is the value of \(a\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30ExpertMathematicsIf (\alpha,\beta) are roots of (x^2-17x+72=0), what is (\frac{1}{\alpha}+\frac{1}{\beta})?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30ExpertMathematicsTwo numbers have sum (19) and product (90). They can be roots of which quadratic equation?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30ExpertMathematicsA rectangle has length \((x+10)\) and breadth \((x-7)\). If its area is \(160\), which equation is correct?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30ExpertMathematicsIn which option will the sum of roots be positive and the product of roots be positive?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30ExpertMathematicsIf both roots of \(x^2+bx+144=0\) are equal and each is \(-12\), what is the value of \(b\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30ExpertMathematicsIf \(x^2+24x+c=0\) is a perfect-square quadratic, what is the value of \(c\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30ExpertMathematicsWhat is the difference between the roots of the equation \(7x^{2}-30x+32=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30ExpertMathematicsIf one root of the quadratic equation \(x^2-(m+7)x+7m=0\) is 7, what is the other root?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30ExpertMathematicsWhich of the following statements is true for the equation \(x^2 - 12x + 40 = 0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30ExpertMathematicsIf the roots of a monic quadratic equation are (3r) and (4r), and their sum is (28), what will be the constant term?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30ExpertMathematicsWhat is the standard form of ((x+5)(x+8)+(x-4)(x+7)=110)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30ExpertMathematicsIf \(\alpha\) and \(\beta\) are the roots of \(x^2-18x+80=0\), what is the value of \((\alpha-8)(\beta-8)\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30ExpertMathematicsWhat is the sum of squares of the roots of \(6x^2+7x+2=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30ExpertMathematicsIf one root of x² + ax + 54 = 0 is 6, what are the other root and the value of a?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 31Medium

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