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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।

MathematicsTwo numbers have sum (13) and product (40). They can be roots of which quadratic equation?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsWhich of the following is a quadratic equation in one variable?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsIn which option will the sum of roots be negative and the product of roots be positive?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsIf the two roots of the quadratic equation \(x^2+bx+49=0\) are equal and each root is \(-7\), what is the value of \(b\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsIf \(x^2-14x+c=0\) is a perfect-square quadratic equation, what is the value of \(c\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsWhat is the difference between the roots of the equation \(2x^2-9x+10=0\), taking the larger root minus the smaller root?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsIf one root of the equation \(x^2-(m+4)x+4m=0\) is \(4\), what is the other root?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsWhich of the following statements is correct for the equation \\(x^2-6x+11=0\\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsIf the roots of a monic quadratic equation are r and 2r, and their sum is 9, what is the constant term?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 28Medium MathematicsWhat is the standard form ax^2+bx+c=0) of the equation (x+2)(x+5)+(x-1)(x+4)=609?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsIf \(\alpha\) and \(\beta\) are the roots of the equation \(x^2+7x+10=0\), what is the value of \((\alpha+2)(\beta+2)\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsWhat is the sum of squares of the roots of \(3x^2+8x+4=0\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsIf one root of x² + ax + 18 = 0 is 2, what are the other root and a?Class 10Quadratic EquationsRoots of a Quadratic EquationLevel 30Medium MathematicsWhich equation has discriminant −11?Class 10Quadratic EquationsNature of RootsLevel 30Medium MathematicsIf the roots of the equation \(x^2-8x+k=0\) are real and distinct, what is the correct condition on \(k\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsIf 4 and 5 are the roots of the equation \(x^2-sx+p=0\), what is the value of \(s+p\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsWhat is the sum of reciprocals of the roots of (3x^2-10x+7=0)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsWhat condition on \(k\) is necessary for the equation \(x^2+2kx+16=0\) to have real roots?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsIf the roots of the quadratic equation \(x^2-2kx+25=0\) are equal, what are the possible values of \(k\)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard MathematicsWhich monic quadratic equation has sum of roots (-9) and product (20)?Class 10Quadratic EquationsIntroduction to Quadratic EquationsLevel 30Hard