JEE MATHEMATICS MCQ: TANGENTS & NORMALS

1 Medium

1 of 1

Application +4 | -1

A tangent is drawn at the point

M

with abscissa unity on the curve

y=\sqrt{\left(5-x^{\frac{2}{3}}\right)^3}

. If length of segment of tangent intercepted between the co-ordinate axes is

\sqrt{{N}}

, then

{N}

is equal to

View answer and explanation

Correct option: D

125

Option D (125) is correct. By finding the derivative, the tangent equation, and then the intercepts, the length of the segment is calculated to be \

\sqrt{{125}}

\$.

More Questions from TANGENTS & NORMALS

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