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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।

MathematicsIf (a\neq0) and (D=b^2-4ac) is negative in (ax^2+bx+c=0), what is the correct statement about the graph and roots?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsIf the equation \(x^2-2(a-1)x+(a^2+1)=0\) has no real roots, which condition on \(a\) is correct?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsIf a and b are real numbers, a \(\neq\) b, and \(x^2-(a+b)x+ab=0\), what will be the nature of the roots of this quadratic equation?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsIf \\(x^2-(2a+1)x+a(a+1)=0\\), where \\(a\\) is a real parameter, what will be the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsA number puzzle gives the equation \(n^2-2pn+(p^2-5p)=0\). What condition on \(p\) is necessary for the equation to have two real and distinct values of \(n\)?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsIf the equation of a parabola is \(y=x^2-2kx+(k^2-4)\), how will it intersect the \(x\)-axis?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsHow will the parabola \(y=x^2-2kx+k^2\) intersect the x-axis?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsFor a real constant \(k\), how many points of intersection are there between the parabola \(y=x^2-2kx+k^2+1\) and the \(x\)-axis?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsIf \(r\) is any real number, what is the correct conclusion about the nature of the roots of the equation \(x^2-2rx+(r^2+9)=0\)?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsIf x² - 2rx + (r² - 16) = 0, what is the nature of the roots for any real value of r?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsWhat is the nature of the roots of \\(x^2-2(3+\sqrt{2})x+(17+12\sqrt{2})=0\\)?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsWhat is the nature of the roots of the equation \(x^2+2(1-\sqrt{3})x+4=0\)?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsIf a quadratic has discriminant D = 25 - 4q², what are the values of q for equal roots?Class 10Quadratic EquationsNature of RootsLevel 37Medium MathematicsIf the discriminant of a quadratic equation is \(D=8m-24\), what condition on \(m\) is necessary for the equation to have real roots?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsIf the discriminant of a quadratic equation is \(D=(u+1)(u-5)\), which interval of \(u\) results in no real roots?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsThe discriminant of a quadratic equation is D = (s − 2)^2. What must be the value of s for the equation to have equal roots?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsWhich quadratic equation will have two distinct real roots?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsWhich of the following equations has real, irrational, and distinct roots?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsWhich of the following quadratic equations has equal roots?Class 10Quadratic EquationsNature of RootsLevel 37Expert MathematicsWhat is the correct discriminant \(D\) of the quadratic equation \(x^2-2(k+1)x+k^2=0\)?Class 10Quadratic EquationsNature of RootsLevel 37Expert