If the roots of x²+px+q=0 are 30^° and 15^°, then 2+q-p is (a) 2 (b) 3 (c) 0 (d) 1

JEE PYQ

[JEE Main 2006] if the roots of x 2 px q 0 are tan 30 and tan

VAVidaara Admin Asked 2d ago 0 views 1 answer

If the roots of $x^2+px+q=0$ are $\tan30^\circ$ and $\tan15^\circ$, then $2+q-p$ is

(a) $2$
(b) $3$
(c) $0$
(d) $1$

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

Correct answer: (b) $3$

$\tan45^\circ=\frac{\tan30^\circ+\tan15^\circ}{1-\tan30^\circ\tan15^\circ}=1$, so $-p+q=1$; thus $2+q-p=3$.

JEE Main 2006 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.

No comments yet — start the discussion.