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Equal Roots

Class 10 Mathematics के इस tag से जुड़े questions।

Class 10 · Mathematics

What is the nature of the roots of the equation \(x^2-2(3+\sqrt{5})x+(14+6\sqrt{5})=0\)?

Class 10 · Mathematics

If a quadratic equation has discriminant D = 49 − 16h², what are the values of h for equal roots?

Class 10 · Mathematics

If the discriminant of a quadratic equation is \(D=(m-8)^2\), what must be the value of \(m\) for the equation to have equal roots?

Class 10 · Mathematics

If the quadratic equation \(x^2+2(m-5)x+(m^2-9m+24)=0\) has equal roots, what is the value of \(m\)?

Class 10 · Mathematics

For which values of \(\theta\) does the quadratic equation \(x^2-2\theta x+3\theta=0\) have equal roots?

Class 10 · Mathematics

What is the nature of the roots of \\(8x^2-4\sqrt{10}x+5=0\\)?

Class 10 · Mathematics

For the equation \((q+3)x^2-2(q-2)x+q=0\), what is the value of \(q\) for which the roots are equal, given that \(q\ne -3\)?

Class 10 · Mathematics

For the quadratic equation \(x^2-(u+6)x+6u=0\) to have equal roots, what must be the value of \(u\)?

Class 10 · Mathematics

What is the nature of the roots of the equation \(3x^2-2\sqrt{21}x+7=0\)?

Class 10 · Mathematics

How will the parabola \(y=x^2-2(k-1)x+(k-1)^2\) meet the \(x\)-axis?

Class 10 · Mathematics

If the discriminant of a quadratic equation is \(D=36-9h^2\), what values of \(h\) will give equal roots?

Class 10 · Mathematics

If 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 10 · Mathematics

A 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 10 · Mathematics

For equal roots in (2x^2-2(3k-1)x+(k+1)^2=0), what are the values of (k)?

Class 10 · Mathematics

If the roots of the equation \(x^2+2(m-4)x+(m^2-7m+14)=0\) are equal, what is the value of \(m\)?

Class 10 · Mathematics

For which values of \(\mu\) will the roots of the quadratic equation \(x^2-2\mu x+2\mu=0\) be equal?

Class 10 · Mathematics

What is the nature of the roots of the equation \\(7x^2-2\\sqrt{21}x+3=0\\)?

Class 10 · Mathematics

For the equation \\((q+2)x^2-2(q-1)x+q=0\\), which value of \\(q\\) gives equal roots, given that \\(q\\ne-2\\)?

Class 10 · Mathematics

In (q + 2)x² − 2(q − 1)x + q = 0, with q ≠ −2, what is the value of q for equal roots?

Class 10 · Mathematics

For the quadratic equation \(x^2-(s+4)x+4s=0\), what must be the value of \(s\) for its roots to be equal?