(A) For a quadratic equation $ax^2 + bx + c = 0$,the roots are equal if the discriminant $D = b^2 - 4ac = 0$.Here,$a = 1$,$b = 2m$,and $c = m^2 - 2m +

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(A) For a quadratic equation $ax^2 + bx + c = 0$,the roots are equal if the discriminant $D = b^2 - 4ac = 0$.Here,$a = 1$,$b = 2m$,and $c = m^2 - 2m + 6$.Substituting these values into the discriminant formula:$(2m)^2 - 4(1)(m^2 - 2m + 6) = 0$$4m^2 - 4m^2 + 8m - 24 = 0$$8m - 24 = 0$$8m = 24$$m = 3$.

Class 11 Mathematics 4-2.Quadratic Equations and Inequations Solution of quadratic equations and Nature of roots

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If the roots of the equation $x^2 + 2mx + m^2 - 2m + 6 = 0$ are equal,then the value of $m$ is:

A
$3$
B
$0$
C
$2$
D
$-1$

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4-2.Quadratic Equations and Inequations

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Solution of quadratic equations and Nature of roots

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If the roots of the equation $x^2 + 2mx + m^2 - 2m + 6 = 0$ are equal,then the value of $m$ is:

Similar Questions

Which of the following is/are always false?

The number of real solutions of the equation $(\frac{3}{2})^x = -x^2 + 5x - 10$ is:

If $a, b$ and $c$ are in arithmetic progression,then the roots of the equation $a x^{2}-2 b x+c=0$ are

If the roots of the equation $bx^2 + cx + a = 0$ are imaginary,then for all real values of $x,$ the expression $3b^2x^2 + 6bcx + 2c^2$ is :

If $\alpha, \beta$ are the irrational roots of the equation $3p^2x^3 + px^2 + qx + 3 = 0$ when $p = 1$ and $q = -7$,then $|\alpha - \beta| = $

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