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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 conclusion about the nature of the roots of \(x^2+10x+29=0\).Class 10Quadratic EquationsNature of RootsLevel 38MediumMathematicsWhat is the nature of the roots of \(2x^2-11x+15=0\)?Class 10Quadratic EquationsNature of RootsLevel 38MediumMathematicsIf \(a\) is a real number and \(x^2-2(a+4)x+(a^2+8a+16)=0\), what is the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 38HardMathematicsIf \(a\) 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 38HardMathematicsIf a is a real number and \(x^2-2(a+4)x+a^2+8a+20=0\), how many real roots does the equation have?Class 10Quadratic EquationsNature of RootsLevel 38HardMathematicsFor a real parameter \(n\), which statement correctly describes the nature of the roots of the equation \(x^2+2(n+2)x+n^2+4n+8=0\)?Class 10Quadratic EquationsNature of RootsLevel 38HardMathematicsIf \(n\) 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 38HardMathematicsIf x^2-2(k-3)x+k^2-6k+9=0 is a quadratic equation, what will be the nature of its roots for all real values of k?Class 10Quadratic EquationsNature of RootsLevel 38HardMathematicsWhat 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 38HardMathematicsWhich of the following quadratic equations has non-real roots for every real value of \(m\)?Class 10Quadratic EquationsNature of RootsLevel 38HardMathematicsLet \(r\) be a real number. Which statement correctly describes the nature of the roots of the equation \(x^2-(2r+5)x+(r^2+5r+7)=0\)?Class 10Quadratic EquationsNature of RootsLevel 38HardMathematicsWhat is the nature of the roots of x² − (2r+5)x + (r²+5r+4) = 0?Class 10Quadratic EquationsNature of RootsLevel 38HardMathematicsFor a quadratic equation, if the discriminant is \(D=-(b+3)^2\) and \(b\neq -3\), what will be the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 38HardMathematicsIf the discriminant of a quadratic equation is \(D=-(b+3)^2\), when will its roots be real and equal?Class 10Quadratic EquationsNature of RootsLevel 38HardMathematicsIf the discriminant of a quadratic equation is (D=(a-1)^2+5), where (a) is a real number, which statement correctly describes the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 38HardMathematicsA student assumes that a quadratic equation has two real roots when its discriminant is D = -4. What is the correct conclusion?Class 10Quadratic EquationsNature of RootsLevel 38HardMathematicsA quadratic equation with rational coefficients has discriminant D = 18. A student writes that its roots are rational. What is the correct correction?Class 10Quadratic EquationsNature of RootsLevel 38HardMathematicsFor which interval of the parameter \(a\) does the quadratic equation \(3x^2-2(2a+1)x+(a^2+a+1)=0\) have no real roots?Class 10Quadratic EquationsNature of RootsLevel 38HardMathematicsFor 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 38HardMathematicsWhat condition on \(a\) is necessary for the equation \(3x^2-2(2a+1)x+(a^2+a+1)=0\) to have real roots?Class 10Quadratic EquationsNature of RootsLevel 38Hard