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Discriminant

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 quadratic equation \(x^2-2rx+9=0\) are equal, what is the value of \(r^2\)?Class 10Quadratic EquationsNature of RootsLevel 39Easy MathematicsWhich statement correctly describes the nature of the roots of \(7x^2+2x+3=0\)?Class 10Quadratic EquationsNature of RootsLevel 39Easy MathematicsFor the quadratic equation \\(7x^2+2x+3=0\\), the discriminant is \\(D=b^2-4ac\\). What is the value of \\(D\\)?Class 10Quadratic EquationsNature of RootsLevel 39Easy MathematicsWhat is the nature of the roots of the equation 2x² + 7x + 3 = 0?Class 10Quadratic EquationsNature of RootsLevel 39Easy MathematicsWhat is the discriminant \(D\) of the quadratic equation \(2x^2+7x+3=0\)?Class 10Quadratic EquationsNature of RootsLevel 39Easy MathematicsWhat is the nature of the roots of the quadratic equation \(x^2+8x+16=0\)?Class 10Quadratic EquationsNature of RootsLevel 39Easy MathematicsWhat is the value of the discriminant \(D\) of the quadratic equation \(x^2+8x+16=0\)?Class 10Quadratic EquationsNature of RootsLevel 39Easy MathematicsWhat is the discriminant \(D\) of the quadratic equation \(3x^2-6x+1=0\)?Class 10Quadratic EquationsNature of RootsLevel 39Easy MathematicsWhat is the nature of the roots of the equation \(6x^2-5x+1=0\)?Class 10Quadratic EquationsNature of RootsLevel 39Easy MathematicsWhat is the discriminant \(D\) of the quadratic equation \(6x^2-5x+1=0\)?Class 10Quadratic EquationsNature of RootsLevel 39Easy MathematicsWhat is the nature of the roots of the equation \(4x^2-4x+3=0\)?Class 10Quadratic EquationsNature of RootsLevel 39Easy MathematicsStatement: If the discriminant \(D>0\) for a quadratic equation, then its roots are always equal. Choose the correct option.Class 10Quadratic EquationsNature of RootsLevel 39Easy MathematicsStatement: If the discriminant \(D<0\), the equation has two real and distinct roots. What type of statement is this?Class 10Quadratic EquationsNature of RootsLevel 39Easy MathematicsWhich of the following quadratic equations has real, irrational, and distinct roots?Class 10Quadratic EquationsNature of RootsLevel 39Easy MathematicsWhich of the following quadratic equations has real, rational, and distinct roots?Class 10Quadratic EquationsNature of RootsLevel 39Easy MathematicsIf the two roots of the equation \(2x^2+nx+8=0\) are equal, what is the value of \(n^2\)?Class 10Quadratic EquationsNature of RootsLevel 39Easy MathematicsIf the two roots of the quadratic equation \(mx^2+6x+3=0\) are equal, what is the value of \(m\)?Class 10Quadratic EquationsNature of RootsLevel 39Easy MathematicsIf the equation \(x^2+qx+10=0\) has no real roots, what is the correct condition on \(q\)?Class 10Quadratic EquationsNature of RootsLevel 39Easy MathematicsIf the roots of the equation \(x^2+px+6=0\) are real and distinct, which of the following conditions on \(p\) is correct?Class 10Quadratic EquationsNature of RootsLevel 39Easy MathematicsIf the two roots of the quadratic equation \(x^2+kx+16=0\) are equal, what is the value of \(k^2\)?Class 10Quadratic EquationsNature of RootsLevel 39Easy