If the roots of x²-2ax+a²+a-3=0 are real and less than 3, then (a) a 4

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[JEE Advanced 1999] if the roots of x 2 2ax a 2 a 3 0 are real

VAVidaara Admin Asked 2d ago 0 views 1 answer

If the roots of $x^2-2ax+a^2+a-3=0$ are real and less than $3$, then

(a) $a<2$
(b) $2\le a\le3$
(c) $3<a\le4$
(d) $a>4$

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

Correct answer: (a) $a<2$

$D\ge0\Rightarrow a\le3$; $f(3)=a^2-5a+6>0\Rightarrow a<2$ or $a>3$; vertex $a<3$. Together $a<2$.

JEE Advanced 1999 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.

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