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Questions  

The points of contact of the vertical tangents to x=23sinθ,  y=3+2cosθ  are

a
(2, 5), (2, 1)
b
(-1 , 3),  (5, 3)
c
(2, 5), (5, 3)
d
(-1,  3),  (2, 1)

detailed solution

Correct option is B

For vertical tangents dxdθ=0 so, we have −3cos⁡θ=0⇒θ=π2 or 3π2. Corresponding to these  values of θ, we have x=2−3sin⁡π2=−1,y=3+2cos⁡π2=3x=2−3sin⁡3π2=2+3=5,y=3+2cos⁡3π2=3Thus the required points are (-1, 3) ,  (5, 3).

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