JEE MATHEMATICS MCQ: TANGENTS & NORMALS

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Application +4 | -1

If the tangent at a point on the ellipse

\frac{x^2}{27}+\frac{y^2}{3}=1

meets the coordinate axes at

A

and

B

and,

O

is the origin, the minimum area (in sq. units). of the triangle

O A B

, is

View answer and explanation

Correct option: A

Option A (9) is correct because the minimum area of the triangle OAB is found to be 9 square units when sin(2*theta) is maximized.

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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