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Equation of a Chord When Its Mid Point Is Given

The number of...

Question

The number of points of intersection of the two curves $y = 2$ sinx and $y = 5 x^{2} + 2 x + 3$ is

A

0

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B

1

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C

2

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D

\infty

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Solution

The correct option is A 0
$2 s i n x = 5 x^{2} + 2 x + 3$
$2 s i n x = 5 (x + \frac{1}{5})^{2} + \frac{4}{5} + 2 > 2 \geq 2 s i n x$
so no solution

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