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

MathematicsChoose the correct option regarding the nature of the roots of the quadratic equation \(5x^2-6x+2=0\).Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsWhat is the nature of the roots of the equation \(3x^2-10x+3=0\)?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsIf the discriminant of a quadratic equation \(ax^2+bx+c=0\) with real coefficients is \(D<0\), what is the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsFor which interval of a will x² + 2(a − 2)x + 2a + 5 = 0 have no real roots?Class 10Quadratic EquationsNature of RootsLevel 37Hard 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 roots of the equation \(x^2+2kx+k^2-4k+8=0\) are real, what is the correct condition on \(k\)?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsFor the equation \(x^2-2mx+3m=0\) to have no real roots, which is the correct interval for \(m\)?Class 10Quadratic EquationsNature of RootsLevel 37Hard 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 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 MathematicsWhat is the nature of the roots of the equation \\(x^2+2(a+1)x+a^2+2a+5=0\\)?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 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 \(a\) is a real number, which statement correctly describes the nature of the roots of the equation \(3x^2-6ax+(3a^2+2)=0\)?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsIf \(a\) is a real number, what is the nature of the roots of the equation \(2x^2-4ax+(2a^2-3)=0\)?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsWhich statement correctly describes the nature of the roots of \(x^2+2px+p^2+1=0\)?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsIf \(p\) is a real constant, what is the nature of the roots of the equation \(x^2-2px+p^2=0\)?Class 10Quadratic EquationsNature of RootsLevel 37Hard MathematicsIf \(p\) is any real number, what will be the nature of the roots of the equation \(x^2+2px+p^2-1=0\)?Class 10Quadratic EquationsNature of RootsLevel 37Hard