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The equation of a circle C1 is x^2+y^2...

The equation of a circle `C_1` is `x^2+y^2= 4`. The locus of the intersection of orthogonal tangents to the circle is the curve `C_2` and the locus of the intersection of perpendicular tangents to the curve `C_2` is the curve `C_3`, Then

A

`C_(3)` is a circle

B

the area enclosed by the curver `C_(3)` is `8pi`

C

`C_(2)andC_(3)` are circles with the same centre

D

None of the above

Text Solution

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The correct Answer is:
A, C
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