JEE PYQ

[JEE Main 2004] if one root of x 2 px 12 0 is 4 while x 2

VAVidaara Admin Asked 2d ago 0 views 1 answer

If one root of $x^2+px+12=0$ is $4$, while $x^2+px+q=0$ has equal roots, then $q$ is

(a) $4$
(b) $12$
(c) $3$
(d) $\frac{49}4$

1 Answer

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

Correct answer: (d) $\frac{49}4$

$16+4p+12=0\Rightarrow p=-7$; equal roots $\Rightarrow q=\frac{p^2}4=\frac{49}4$.

JEE Main 2004 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.

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