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The tangent to the ellipse (x^(2))/(25)+...

The tangent to the ellipse `(x^(2))/(25)+(y^(2))/(16)=1` at the end of the latus rectum, in the second quadrant, meets the coordinate axes at

A

`(-5,0),(0,4)`

B

`(-4,0),(0,5)`

C

`(-(25)/(3), 0),(0,5)`

D

`(-5,0),(0, (25)/(3))`

Text Solution

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The correct Answer is:
C
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