[JEE Advanced 2000] If $b>a$, then $(x-a)(x-b)-1=0$ has
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
· 1mo ago
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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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