1.

A line perpendicular to the X-axis cuts the circle x^(2)+y^(2)=9 at A and the ellipse 4x^(2)+9y^(2)=36 at B such that A and B lie in the same quadrant. If theta is the greatest acute angle between the tangents drawn to the curves at A and B, then tan theta=

Answer»

`1/12`
`1/(2sqrt(6))`
`5/24`
`5/(4sqrt(6))`

ANSWER :B


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