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Real Distinct Roots

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 real and distinct roots?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsWhat is the correct statement about the roots of ((p+4)x^2-2(p+1)x+(p-2)=0), if (p\neq-4)?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsWhat is the nature of roots of (x^2-2(a-5)x+a^2-10a+21=0)?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsIf \(a\) is a real parameter and \(x^2-2(a+4)x+a^2+8a+15=0\), what will be the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsIf \(n\) is any real number, what is the nature of the roots of the equation \(x^2+2(n+2)x+n^2+4n+1=0\)?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsWhat is the nature of the roots of the quadratic equation \(x^2-2(k-3)x+k^2-6k+8=0\)?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsFor which values of \(a\) will the equation \(3x^2-2(2a+1)x+(a^2+a+1)=0\) have real and distinct roots?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsIf \(a\ne b\), what is the nature of the roots of the equation \(x^2-2(a+b)x+4ab=0\)?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsIf m is a real number, when will the roots of \(x^2-2(m-4)x+m^2-16=0\) be real and distinct?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsWhat condition on \(m\) is necessary for the equation \(x^2-2mx+3m=0\) to have two real and distinct roots?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsIf \(a\ne b\) and \(a,b\) are real numbers, what is the nature of the roots of the equation \(x^2-(a+b)x+ab=0\)?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsWhat is the correct condition on \(k\) for the equation \(kx^2-6x+k=0\) to have real and distinct roots?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsWhat is the correct condition on \\(k\\) for the roots of the equation \\(x^2-2(k+1)x+k^2=0\\) to be real and distinct?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsHow will the roots of x² − 2x − 3 = 0 be?Class 10Quadratic EquationsNature of RootsLevel 37Easy MathematicsIf the roots of the quadratic equation \(x^2+px+4=0\) are real and distinct, which condition must \(p\) satisfy?Class 10Quadratic EquationsNature of RootsLevel 38Easy MathematicsWhat will be the nature of the equation (x^2+7x+10=0)?Class 10Quadratic EquationsNature of RootsLevel 38Easy MathematicsWhat is the nature of the roots of x²−2x−3=0?Class 10Quadratic EquationsNature of RootsLevel 38Easy MathematicsIf the discriminant \\(b^2-4ac=9\\) of a quadratic equation is 9, what will be the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 38Easy