Skip to content

Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

RELATED QUESTIONS

Discriminant

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

MathematicsIf \(a,b,c\) are integers and \(a\ne0\), which condition identifies that the quadratic equation \(ax^2+bx+c=0\) has two distinct irrational real roots?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsFor the equation \(n^2-2pn+(p^2-7p)=0\), what condition on \(p\) is necessary for \(n\) to have two real and distinct roots?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsA geometric situation leads to the quadratic equation \(L^2-2(a+4)L+(a^2+6a+13)=0\). What condition on \(a\) is necessary for \(L\) to have real values?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsFor the parabola \(y=x^2-2kx+(k^2-9)\), where \(k\) is any real number, how will it intersect the \(x\)-axis?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsHow will the parabola \(y=x^2-2(k-1)x+(k-1)^2\) meet the \(x\)-axis?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsHow many points of intersection are there between the parabola \(y=x^2-2kx+k^2+4\) and the x-axis?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsFor the equation \(x^2-2rx+(r^2+25)=0\), where \(r\) is any real number, what is the correct conclusion about the nature of its roots?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsIf x² − 2rx + (r² − 49) = 0, what is the nature of the roots for any real value of r?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsWhat is the nature of the roots of the equation \(x^2-2(2+\sqrt{3})x+(7+4\sqrt{3})=0\)?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsWhat is the nature of the roots of the quadratic equation \(x^2+2(2-\sqrt{5})x+9=0\)?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsIf the discriminant of a quadratic equation is \(D=36-9h^2\), what values of \(h\) will give equal roots?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsIf the discriminant of a quadratic equation is \(D=12n-36\), what condition on \(n\) is necessary for the equation to have two real and distinct roots?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsIf the discriminant of a quadratic equation is \(D=(z-4)(z+6)\), which interval of \(z\) results in no real roots of the equation?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsIf the discriminant of a quadratic equation is \(D=(w+2)^2\), what must be the value of \(w\) for the equation to have equal roots?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsA student claims that the equation \(x^2+(m-4)x+m=0\) will have equal real roots only for \(m=4\), because the coefficient of \(x\) becomes zero. Which is the correct evaluation of this claim?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsA student writes D=16 for x²−2(k−2)x+k²=0. What is the correct discriminant D?Class 10Quadratic EquationsNature of RootsLevel 38Medium MathematicsAssertion: The graph of the quadratic equation \(2x^2-4x+7=0\) does not intersect the \(x\)-axis. Reason: The discriminant of this equation is \(D=-40\). Choose the correct option.Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsAssertion: In the equation \(x^2-2(a-b)x+(a+b)^2=0\), if \(ab<0\), its roots are real and distinct. Reason: The discriminant of this equation is \(D=-16ab\). Choose the correct option.Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsIf \(x^2-2px+(p^2+16)=0\), what will be the nature of its roots for any real value of \(p\)?Class 10Quadratic EquationsNature of RootsLevel 38Expert MathematicsIf x² − 2px + (p² − 25) = 0, what is the nature of the roots for any real value of p?Class 10Quadratic EquationsNature of RootsLevel 38Medium