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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 not 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

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The correct Answer is:
C
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OBJECTIVE RD SHARMA-CIRCLES-Exercise
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  5. If the chord of contact of the tangents from a point on the circle x^2...

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  8. If the circle C1: x^2 + y^2 = 16 intersects another circle C2 of radiu...

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  9. Find the locus of the midpoint of the chord of the circle x^2+y^2-2x-2...

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  10. The two circles x^(2)+y^(2)-2x-3=0 and x^(2)+y^(2)-4x-6y-8=0 are such ...

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  12. The equation of the circumcircle of the triangle formed by the lines y...

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  13. The equation x^(2)+y^(2)+4x+6y+13=0 represents

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  14. To which of the circles, the line y-x+3=0 is normal at the point (3+3s...

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  16. Find the equation of the circle which touches both the axes and the ...

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  17. The slope of the tangent at the point (h, h) of the circle x^(2)+y^(2...

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  18. The two circles x^2+ y^2=r^2 and x^2+y^2-10x +16=0 intersect at two d...

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  19. Locus of thews of the centre of the circle which touches x^2+y^2 - 6x-...

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