Question

The question below has two statements, I and Impark your answer as
For an equation ax2 + bx + c = 0, its roots are
I. Real and different if b2 $>$ 4ac.
II. Imaginary and equal if b² $<$ 4ac.

• A. Statement I is True, but not the other one.
• B. Statement II is True, but not the other one.
• C. Both the statements are True.
• D. Neither of the statements is True.

Answer 1

Answer: (A)

Statement I is True, but not the other one.

Answer 2

For an equation $ax^2 + bx + c = 0$
the roots are = $\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$
Now, if $b^2$ > $4ac$, roots are real and different.
$b^2$ = $4ac$, roots are equal.
If $b^2$ < 4ac, This is case II in which the roots are equal.
so, Case II is incorrect.

The correct option is (A)