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Maths Conic Sections Mix Single Correct MCQ
Published on: August 14, 2026

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

A
0
B
1
C
2
D
∞ ∞

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Text Solution

Verified by Experts
The correct answer is:
A

Put y = 2sinx in

y = 5x 2 + 2x + 3 ⇒ ⇒ 2sinx = 5x 2 + 2x + 3

⇒ ⇒ 5x 2 + 2x + 3 – 2sinx = 0..... (i)

x =

It is clear that number of intersection point is zero, because 0 ≤ ≤ sinx ≤ ≤ 1 and in all the values roots becomes imaginary.

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