JEE MATHEMATICS MCQ: ELLIPSE

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Analyzing +4 | -1

A tangent at any point to the ellipse

4{x^2} + 9{y^2} = 36

is cut by the tangent at the extremities of the major axis at

T

and

T'

. The circle on

TT'

as diameter passes through the point

View answer and explanation

Correct option: B

\left( {\sqrt 5 ,0} \right)

Option B (

\left( {\sqrt 5 ,0} \right)

) is correct because the circle on TT' as diameter passes through this point, as derived from the equation of the circle.

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