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$T h e n u m b e r o f p o i n t s i n t e r s e c t i o n o f t h e t w o c u r v e s y = 2 \sin x a n d y = 5 x^{2} + 2 x + 3 i s$

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Correct option is A

We have y=5x2+2x+3=5x2+25x+35 =5x+152+35−125=5x+152+145>2Since y=2sinx≤2, so there cannot be any point of intersection.

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The number of points intersection of the two curves y=2sinx and y=5x2+2x+3 is

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$T h e n u m b e r o f p o i n t s i n t e r s e c t i o n o f t h e t w o c u r v e s y = 2 \sin x a n d y = 5 x^{2} + 2 x + 3 i s$