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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 the two roots of the equation \(x^2+bx+100=0\) are equal and each root is \(-10\), what is the value of \(b\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsIf the quadratic equation \(x^2-18x+c=0\) can be written as a perfect square, what is the value of \(c\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsWhat is the difference between the larger and smaller roots of \(5x^2-22x+24=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsWhich of the following becomes a quadratic equation in the variable \(x\) after simplification?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsWhich statement correctly describes the nature of the roots of \(x^2-10x+29=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsIf the roots of a monic quadratic equation are (2r) and (5r), and their sum is (21), what will be the constant term?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsWhat is the standard form of the equation (x+4)(x+7)+(x−3)(x+6)=88?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2-14x+48=0\), what is the value of \((\alpha-6)(\beta-6)\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsWhat is the sum of squares of the roots of (4x^2+8x+3=0)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsIf one root of x² + ax + 40 = 0 is 5, what are the other root and a?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 29Medium MathematicsWhich quadratic equation has a discriminant of −35?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsIf the roots of the equation \(x^2-16x+k=0\) are real and distinct, what is the correct condition on \(k\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsIf 7 and 8 are the roots of the equation \(x^2-sx+p=0\), what is the value of \(s+p\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsWhat is the sum of reciprocals of the roots of (5x^2-17x+6=0)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsWhat condition on \(p\) is necessary and sufficient for the equation \(x^2+2px+36=0\) to have real roots?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsIf the two roots of the quadratic equation \(x^2-2mx+49=0\) are equal, what are the possible values of \(m\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsWhich monic quadratic equation has sum of roots (-13) and product (42)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsIf \(x=-5\) is a root of the equation \(3x^2+px-20=0\), what is the value of \(p\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsWhat is the standard form with integer coefficients of (\frac{3x^2+2}{4}-\frac{x-5}{3}=6)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert MathematicsWhat is the standard form of the equation 2(x−1)² + 3(x+2)² = 65?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 29Expert