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If y=x+c touches the ellipse 3x^(2)+4y^...

If `y=x+c` touches the ellipse `3x^(2)+4y^(2)=12` at the point P, then the value of the length OP (where O is the origin) is equal to

A

`sqrt3` units

B

`sqrt7` units

C

`(5)/(sqrt7)` units

D

`sqrt((7)/(5))` units

Text Solution

Verified by Experts

The correct Answer is:
C
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