If the point R divides the line segment ...

If the point R divides the line segment joining the point (2, 3) and `(2 tan theta, 3 sec theta), 0 lt theta lt (pi)/(2)` internally in the ratio 2 :3 , then the locus of R is

A

An ellipse length of whose major axis is 12

B

An ellipse length of whose major axis is 8

C

A hyperbola length of whose transverse axis is 12

D

A hyperbola length of whose transverse axis is 8

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The correct Answer is:

C

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