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In the curve represented parametrically ...

In the curve represented parametrically by the equations x = 2 In cot t + 1 and y = tan t + cot t,

A

(a) tangent and normal intersect at the point (2, 1)

B

(b) normal at `t = pi//4` is parallel to the y-axis

C

(c) tangent at `t = pi//4` is parallel to the line y = x

D

(d) tangent at `t = pi//4` is parallel to the x-axis

Text Solution

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The correct Answer is:
D
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