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The tangent at P, any point on the circl...

The tangent at `P`, any point on the circle `x^2 +y^2 =4` , meets the coordinate axes in `A `and `B`, then (a) Length of `AB` is constant (b) `PA `and `PB` are always equal (c) The locus of the midpoint of `AB` is `x^2 +y^2=x^2y^2` (d) None of these

A

Length of AB is constant

B

PA and PB are always equal

C

The locus of the mid point of AB is `x^(2)+y^(2)=x^(2)y^(2)`

D

None of these

Text Solution

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The correct Answer is:
C
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