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A tangent to the ellipse 4x^2 +9y^2 =36 ...

A tangent to the ellipse `4x^2 +9y^2 =36` is cut by the tangent at the extremities of the major axis at T and `T^1`, the circle on `T T^1` as diameter passes through the point

A

`(-sqrt(5),0)`

B

`(sqrt(5),1)`

C

`(0,0)`

D

`(3,2)`

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The correct Answer is:
A
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FIITJEE-ELLIPSE-ASSIGNMENT PROBLEMS (OBJECTIVE) (LEVEL-I)
  1. The locus of the point of intersection of the tangents drawn to the el...

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  2. An ellipse of major and minor axes of length sqrt(3) and 1 respectivel...

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  3. A tangent to the ellipse 4x^2 +9y^2 =36 is cut by the tangent at the e...

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  4. Angle between tangents drawn from any point on the circle x^2 +y^2 = (...

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  5. The locus of point intersection of perpendicular tangents of ellipse (...

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  6. If alpha, beta are the eccentric angles of the extermities of a focal ...

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  7. Locus of mid-point of the focal chord of ellipse (x^(2))/(a^(2))+(y^(...

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