JEE PYQ

[JEE Advanced 1990] the number of solutions of sin e x 5 x 5 x is

VAVidaara Admin Asked 2d ago 0 views 1 answer
#PYQJEE#JEE#JEE Advanced#1990#log-exponential-equations#Quadratic Equations and Inequations

The number of solutions of $\sin(e^x)=5^x+5^{-x}$ is

(a) $0$
(b) $1$
(c) $2$
(d) infinitely many

1 Answer

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

Correct answer: (a) $0$

$5^x+5^{-x}\ge2$ while $\sin(e^x)\le1$, so the two sides never meet — no solution.

JEE Advanced 1990 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.

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