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If the circle x^(2) +y^(2) + 2gx + 2fy ...

If the circle ` x^(2) +y^(2) + 2gx + 2fy + c = 0 ` bisects the circumference of the circle
` x^(2) +y^(2) + 2g'x + 2f'y + c' = 0 ` , them the length of the common chord of these two circles is

A

`2sqrt(g^2+f^2-c)`

B

`2sqrt(g^(|2)+f^(|2)-c^1)`

C

`2sqrt(g^2+f^2+c)`

D

`2sqrt(g^(|2)+f^(|2)+c^(|))`

Text Solution

Verified by Experts

The correct Answer is:
B
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AAKASH SERIES-SYSTEM OF CIRCLES-Exercise-II (Class work)
  1. You are given n ( ge 3) circles having different radical axes and rad...

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  2. If A, B, C are the centres of three circles touching mutually external...

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  3. The radical centre of the three circles described on the three sides o...

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  4. ABC is a triangle. The radical centre of the circles with AB, BC, CA a...

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  5. A, B, C are the centres of three circles of equal radii which donot to...

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  6. A,B,C are the centres of the three circles C1,C2,C3 such that C1,C2 ...

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  7. The slope of the radical axis of the circles x^2+y^2+3x+4y-5=0 and x^2...

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  8. The distance of the point (1,-2) from the common chord of the circles ...

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  9. The length of the common chord of the circles x^(2) + y^(2) + 2x + ...

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  10. The length of the common chord of the circles (x-6)^2+(y-4)^2=4, (x-4)...

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  11. If the circle x^(2) +y^(2) + 2gx + 2fy + c = 0 bisects the circumfer...

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  12. The condition that the circle x^(2) +y^(2) + 2gx+ 2fy + c = 0 to bisec...

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  13. The length of the common chord of the two circles (x-a)^2+(y-b)^2=c^2,...

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  14. The circle on the chord xcos alpha + ysin alpha =p of the circle x^2+y...

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  15. The equation of the circle described on the common chord of the circle...

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  16. If the circle x^2+y^2+2x+3y+1=0 cuts another circle x^2+y^2+4x+3y+2=0 ...

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  17. The equation of the circle which passes through the origin has its cen...

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  18. The circles having radii 1, 2, 3 touch cach other externally then the ...

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  19. A circle passes through the points (3,4) and cuts the circle x^(2) + ...

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  20. The locus of the centre of the circle, which cuts the circle x^(2) + y...

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