(B) For a quadratic equation $Ax^2 + Bx + C = 0$,the roots are real and distinct if the discriminant $D = B^2 - 4AC > 0$.Here,$A = a$,$B = 0$,and $C =

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(B) For a quadratic equation $Ax^2 + Bx + C = 0$,the roots are real and distinct if the discriminant $D = B^2 - 4AC > 0$.Here,$A = a$,$B = 0$,and $C = b$.Substituting these values into the discriminant formula:$D = 0^2 - 4(a)(b) > 0$$-4ab > 0$Dividing by $-4$ (which reverses the inequality sign):$ab < 0$.

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

Medium

The roots of $ax^2 + b = 0$ are real and distinct if:

A
$ab > 0$
B
$ab < 0$
C
$a, b > 0$
D
$a, b < 0$

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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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The roots of $ax^2 + b = 0$ are real and distinct if:

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