In the curve represented parametrically by the equations and ,

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

In the curve represented parametrically by the equations

x = 2\ln \cot t + 1

and

y = \tan t + \cot t

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

t = \pi/4

is parallel to the x-axis (c) tangent at

t = \pi/4

is parallel to the line

y = x

(d) tangent at

t = \pi/4

is parallel to the x-axis