A) 0
B) 1
C) 2
D) \[\infty \]
Correct Answer: A
Solution :
Put \[y=2\sin x\]in \[y=5{{x}^{2}}+2x+3\]Þ\[2\sin x=5{{x}^{2}}+2x+3\] Þ \[5{{x}^{2}}+2x+3-2\sin x=0\] .....(i) \[x=\frac{-2\pm \sqrt{4-20(3-2\sin x)}}{10}\]. It is clear that number of intersection point is zero, because \[0\le \sin x\le 1\] and in all the values roots becomes imaginary.You need to login to perform this action.
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