JEE MATHEMATICS MCQ: TANGENTS & NORMALS

1 Hard

1 of 1

Application +4 | -1

If the area of the triangle, included between the axes and any tangent to the curve

x{y^n} = {a^{n + 1}}

is constant, then the value of

n

View answer and explanation

Correct option: C

Option C (1) is correct because when

n=1

, the area of the triangle formed by the tangent is constant.

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a

y=x^3-a x

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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