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Equal Roots

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhich value of \(q\) is required for the two roots of the quadratic equation \(2x^2-(q+4)x+2q=0\) to be equal?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsFor the equation \\((r+2)x^2-2(r+5)x+(r+2)=0\\), what is the value of \(r\) for which the roots are real and equal?Class 10Quadratic EquationsNature of RootsLevel 38Hard MathematicsIf the quadratic equation \(px^2-14x+7=0\) has equal roots and \(p\ne0\), what is the value of \(p\)?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsFor the quadratic equation \(2x^2-5x+q=0\) to have two real and equal roots, what should be the value of \(q\)?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsFor which values of \\(k\\) will the equation \\(x^2-2(k-3)x+16=0\\) have equal roots?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsWhat is the nature of the roots of the equation \\(5x^2-30x+45=0\\)?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsAssertion: The quadratic equation \(2x^2-8x+8=0\) has two equal roots. Reason: Its discriminant is \(D=0\). Choose the correct option.Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsIf an equation has (D=0), which statement is correct in terms of graph?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsIf the quadratic equation \(kx^2+8x+4=0\) has equal roots and \(k\neq0\), what is the value of \(k\)?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsIf the quadratic equation \(3x^2+mx+12=0\) has equal roots, what are the possible values of \(m\)?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsIf the quadratic equation \(x^2+kx+25=0\) has equal roots, what are the possible values of \(k\)?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsFor the equation \((k-2)x^2-2(k+1)x+k=0\) to have real and equal roots, what should be the value of \(k\)?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsIf the equation \(x^2+2kx+k^2-4k+8=0\) has real and equal roots, what is the value of \(k\)?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsIf the quadratic equation \(x^2-2mx+3m=0\) has real and equal roots, what are the possible values of \(m\)?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsIf a and b are real constants, when will the two roots of \(x^2-(a+b)x+ab=0\) be equal?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsIf the two roots of (x^2-2(a+b)x+4ab=0) are equal, which of the following relations must be true?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsIf the quadratic equation \(x^2-2(a+b)x+(a-b)^2=0\), where a and b are real numbers, has equal roots, which relation holds between a and b?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsIf the discriminant of a quadratic equation is (D=(m-5)^2), which value of (m) is required for its roots to be equal?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsFor any real constant \(k\), what is the nature of the roots of the equation \(9x^2-6(k-1)x+(k-1)^2=0\)?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsFor which value of \(n\) will the equation \(x^2+(n+2)x+2n=0\) have equal roots?Class 10Quadratic EquationsNature of RootsLevel 37Hard