JEE MATHEMATICS MCQ: TANGENTS & NORMALS

1 Hard

1 of 1

Application +4 | -1

The equation of the one of the tangents to the curve

y = \cos \left( {x + y} \right),\; - 2\pi \le x \le 2\pi

that is parallel to the line

x + 2y = 0

, is

View answer and explanation

Correct option: B

x + 2\;y = \frac{\pi }{2}

Option D (

B,\;A,\;D,\;C

) is correct because it represents the increasing order of the lengths of subtangent, tangent, subnormal, and normal.

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a

y=x^3-a x

x^2 y=1-y

x y=1-y

C

y^3-3 x y+2=0

H

\mathrm{C}

x

V

C

y

y-e^{x y}+x=0

y = f\left( x \right)

x

x = a\left( {\theta - \sin \theta } \right),\;y = a\left( {1 + \cos \theta } \right)

\theta = \left( {2k + 1} \right)\pi ,\;k \in Z