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Locus of the mid points of the chords of...

Locus of the mid points of the chords of the circle `x^2+y^2=a^2` which pass through the fixed point `(h ,k)` is `x^2+y^2+2h x+2k y=0` `x^2+y^2-2h x-2k y=0` `x^2+y^2+h x+k y=0` `x^2+y^2-h x-k y=0` `x^2+y^2+h x-k y=0`

A

`x^(2)+y^(2)-hx-ky=0`

B

`x^(2)+y^(2)+hx+ky=0`

C

`x^(2)+y^(2)-2hx-2ky=0`

D

`x^(2)+y^(2)+2hx+2ky=0`

Text Solution

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The correct Answer is:
A
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OBJECTIVE RD SHARMA-CIRCLES-Exercise
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  3. Locus of the mid points of the chords of the circle x^2+y^2=a^2 which ...

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  4. If the circles (x-a)^(2)+(y-b)^(2)=c^(2) and (x-b)^(2)+(y-a)^(2)=c^(2)...

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  5. The equation of the image of the circle x^2+y^2+16x-24y+183=0 by the l...

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  6. The number of the tangents that can be drawn from (1, 2) to x^(2)+y^(2...

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  8. If y=2x is the chord of the circle x^2+y^2-4x=0, find the equation of ...

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  9. The tangent to x^(2)+y^(2)=9 which is parallel to y-axis and does not ...

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  10. The two circles x^(2)+y^(2)-5=0 and x^(2)+y^(2)-2x-4y-15=0

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  11. If the circle x^2+y^2+2x+3y+1=0 cuts x^2+y^2+4x+3y+2=0 at Aa n dB , th...

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  12. The circle x^(2)+y^(2)=4 cuts the circle x^(2)+y^(2)-2x-4=0 at the poi...

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  13. If the circle x^2+y^2+2gx+2fy+c=0 is touched by y=x at P such that O P...

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  14. The number of common tangents of the circles x^(2)+y^(2)+4x+1=0 and x...

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  15. The length of the common chord of the circles x^(2)+y^(2)-2x-1=0 and ...

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  16. If a circle passes through the point (a, b) and cuts the circle x^2 + ...

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  17. If the lines 3x-4y+4=0a d n6x-8y-7=0 are tangents to a circle, then fi...

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  18. Coordinates of the centre of the circle which bisects the circumferenc...

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  19. One of the diameter of a circle circumscribing the rectangle ABCD is 4...

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  20. The points of contact of tangents to the circle x^(2)+y^(2)=25 which a...

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