JEE MATHEMATICS MCQ: TANGENTS & NORMALS

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Analyzing +4 | -1

The equation of the tangent to curve

y\left( {2x - 1} \right){e^{2\left( {1 - x} \right)}}

at the points its maximum, is

View answer and explanation

Correct option: A

y - 1 = 0

Option A (

y - 1 = 0

) is correct because the tangent to the curve at its maximum point (1,1) is a horizontal line, hence y=1.

More Questions from TANGENTS & NORMALS

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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