If b>a, then (x-a)(x-b)-1=0 has (a) both roots in (a,b) (b) both roots in (-∞,a) (c) both roots in (b,∞) (d) one root in (-∞,a) and the other in (b,∞)

Correct answer: (d) one root in (-∞,a) and the other in (b,∞) f(a)=f(b)=-1 b. JEE Advanced 2000 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.

JEE PYQ

[JEE Advanced 2000] if b a then x a x b 1 0 has

VAVidaara Admin Asked 2d ago 0 views 1 answer

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If $b>a$, then $(x-a)(x-b)-1=0$ has

(a) both roots in $(a,b)$
(b) both roots in $(-\infty,a)$
(c) both roots in $(b,\infty)$
(d) one root in $(-\infty,a)$ and the other in $(b,\infty)$

1 Answer

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

Correct answer: (d) one root in $(-\infty,a)$ and the other in $(b,\infty)$

$f(a)=f(b)=-1<0$ and the parabola opens upward, so one root is $<a$ and the other $>b$.

JEE Advanced 2000 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.

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