JEE PYQ

[JEE Advanced 1992] let alpha beta be the roots of x a x b c c 0

VAVidaara Admin Asked 2d ago 0 views 1 answer

Let $\alpha,\beta$ be the roots of $(x-a)(x-b)=c$, $c\ne0$. Then the roots of $(x-\alpha)(x-\beta)+c=0$ are

(a) $a,c$
(b) $b,c$
(c) $a,b$
(d) $a+c,b+c$

1 Answer

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

Correct answer: (c) $a,b$

$(x-\alpha)(x-\beta)=(x-a)(x-b)-c$, so $(x-\alpha)(x-\beta)+c=(x-a)(x-b)$, whose roots are $a,b$.

JEE Advanced 1992 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.

Log in to post your own answer or join the discussion.

Discussion (0)

No comments yet — start the discussion.

← Back to all questions