The angle between one-sided tangents to the curve $y=e^{|x|}$ at $x=0$, is

JEE MATHEMATICS MCQ: TANGENTS & NORMALS

1 Easy

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Analyzing +4 | -1

The angle between one-sided tangents to the curve

y=e^{|x|}

x=0

, is

View answer and explanation

Correct option: C

\frac{\pi}{2}

Option C (

\frac{{\pi}}{{2}}

) is correct because the slopes of the one-sided tangents are -1 and 1, which are negative reciprocals, indicating a right angle.

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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