Question

If a, b are real and distinct roots of ax² + bx – c = 0 and p, q be real and distinct roots of ax² + bx – |c| = 0 where (a > 0) then

• A. a, bĪ (p, q)
• B. a, b Ī [p, q]
• C. p, q Ī (a, b)
• D. (a, b) Ī [p, q]

Answer 1

Answer: (B)

a, b Ī $p, q$

Answer 2

Q a, b = $\frac{- b \pm \sqrt{b^{2} + 4ac}}{2a}$ p, q = $\frac{- b \pm \sqrt{b^{2} + 4a|c|}}{2a}$

Q c £ |c|

4 ac £ 4a |c|

$\sqrt{b^{2} + 4ac}$£$\sqrt{b^{2} + 4a|c|}$

Ž a, b Ī [p, q]