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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

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-CIRCLES-Exercise
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  2. Find the area of the triangle formed by the tangents from the point (4...

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  4. The equation of the circle which touches the axes of coordinates and ...

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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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  6. If from the origin a chord is drawn to the circle x^(2)+y^(2)-2x=0, t...

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  7. The locus represented by x=a/2(t+1/t), y=a/2(t-1/t) is

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  8. about to only mathematics

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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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  11. The equation of the circle having its centre on the line x+2y-3=0 and ...

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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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  15. Circles are drawn through the point (2, 0) to cut intercept of length ...

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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 cirlce x^(2) +y^(...

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  18. The circles x^(2)+y^(2)-10x+6=0andx^(2)+y^(2)=r^(2) intersect each oth...

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  19. The locus of the center of the circle which touches the circle x^(2)+y...

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