The length of tangent, subtangent, normal and subnormal for the curve $y = {x^2} + x - 1$ at (1, 1) are $A,\;B,\;C\,{\rm{and}}\,D$ respectively, then their increasing order is

JEE MATHEMATICS MCQ: TANGENTS & NORMALS

1 Easy

1 of 1

Application +4 | -1

The length of tangent, subtangent, normal and subnormal for the curve

y = {x^2} + x - 1

at (1, 1) are

A,\;B,\;C\,\mathrm{and}\,D

respectively, then their increasing order is

View answer and explanation

Correct option: D

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

Option B (2 units) is correct because it is the length of the side when the rate of change of area equals the rate of change of perimeter.

Practice All Chapter MCQs →

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