question_answer

Consider the following statements : Assertion  : The circle \[{{x}^{2}}+{{y}^{2}}=1\]has exactly two tangents parallel to the x-axis Reason (R) : \[\frac{dy}{dx}=0\] on  the circle exactly at the point \[(0,\pm 1)\]. Of these statements                                     [SCRA 1996]

A)            Both A and R are true and R is the correct explanation of A

B)            Both A and R are true but R is not the correct explanation of A

C)            A is true but R is false

D)            A is false but R is true