JEE PYQ

[JEE Advanced 1994] the number of points of intersection of y 2 sin x and y 5x

VAVidaara Admin Asked 2d ago 0 views 1 answer

The number of points of intersection of $y=2\sin x$ and $y=5x^2+2x+3$ is

(a) $0$
(b) $1$
(c) $2$
(d) $\infty$

1 Answer

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

Correct answer: (a) $0$

The parabola has minimum $\frac{14}5=2.8$ (at $x=-\frac15$), which exceeds the maximum $2$ of $2\sin x$. No intersection.

JEE Advanced 1994 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.

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