JEE PYQ

[JEE Advanced 1980] let a 0 b 0 c 0 then both roots of ax 2 bx

VAVidaara Admin Asked 2d ago 0 views 1 answer

Let $a>0,b>0,c>0$. Then both roots of $ax^2+bx+c=0$

(a) are real and negative
(b) have negative real parts
(c) both (a) and (b)
(d) none of these

1 Answer

VAVidaara Admin ✓ Vidaara Team ✓ Accepted · 2d ago ▲ 0

Correct answer: (b) have negative real parts

With $a,b,c>0$, the sum of roots $-b/a<0$ and product $c/a>0$; whether real or complex, both roots have negative real parts.

JEE Advanced 1980 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.

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