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The length of the common chord of the ci...

The length of the common chord of the circles `(x-a)^(2)+(y-b)^(2)=c^(2)` and `(x-b)^(2)+(y-a)^(2)=c^(2)`, is

A

`sqrt(c^(2)-(a-b)^(2))`

B

`sqrt(4c^(2)-2(a-b)^(2))`

C

`sqrt(2c^(2)-(a-b)^(2))`

D

`sqrt(4c^(2)+(a-b)^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
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ML KHANNA-THE CIRCLE -Problem Set (3) (MULTIPLE CHOICE QUESTIONS)
  1. If the equation of a given circle is x^2+y^2=36 , then the length of t...

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  2. The two lines through (2,3) from which the circle x^(2)+y^(2)=25 inter...

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  3. The common chord of x^(2)+y^(2)-4x-4y=0 and x^(2)+y^(2)=16 subtends at...

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

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  5. Let L(1) be a straight line passing through the origin and L(2) be th...

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  6. Length of common chord of the circles x^(2)+y^(2)+ax +by+c=0 and x^(2...

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

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  8. Radius of the circle with centre (3,1) and cutting a chord of length 6...

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

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  10. The intercept on the line y=x by the circle x^(2)+y^(2)-2x=0 is AB. E...

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  11. Centre of a circle passing through point (0,1) and touching the curve ...

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  12. A variable circle is described to pass through the point (a, 0) and to...

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  13. The equation of tangent drawn from origin to the circle x^(2)+y^(2)-2a...

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  14. The equation of the circle passing through (2,0) and (0,4) and having ...

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  15. The length of the chord joining the points (4 cos alpha, 4 sin alpha)...

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  16. The line y=mx+c intersects the circle x^(2)+y^(2)=a^(2) in two distin...

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  17. If a circle passes through the points of intersection of the co-ordina...

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  18. A circle cuts the circles x^(2)+y^(2)=4 x^(2)+y^(2)-6x-8y+10=0 and...

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  19. Two parallel chords of a circle of radius 2 are at a distance sqrt3 + ...

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  20. If P and Q are the points of intersection of the circles x^(2)+y^(2)+...

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