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The radical axis of circles x^(2) + y^...

The radical axis of circles
`x^(2) + y^(2) + 5x + 4y - 5 = 0` and
`x^(2) + y^(2) - 3x + 5y - 6 = 0` is

A

8y - x + 1 = 0

B

8x - y + 1 = 0

C

8x - 8y + 1 = 0

D

y - 8x + 1 = 0

Text Solution

Verified by Experts

The correct Answer is:
B
Given circles are, `S = x^(2) + y^(2) + 5x + 4y - 5 = 0` and
`S^(1) = x^(2) + y^(2) - 3x + 5y - 6 = 0`
Equation of radical axis `S - S. = 0`
`implies x^(2) + y^(2) + 5x + 4y - 5 - x^(2) y^(2) + 3x - 5y + 6 = 0`
`:. 8x - y + 1 = 0`
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SIA PUBLICATION-SYSTEM OF CIRCLE -PROBLEMS
  1. The point at which the circles x^(2)+y^(2)-4x-4y+7=0 and x^(2)+y^(2)-1...

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

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

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  4. (a,0) and (b,0) are centres of two circles belonging to a coaxial syst...

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  5. If the circle x^(2) + y^(2) + 4x - 6y + c = 0 bisects the circumferenc...

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

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  7. The equation to the line joining the centres of the circles belongin...

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  8. If the circle x^(2) + y^(2) + 8x - 4y + c = 0 touches the circle x^...

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  9. The point of contact of the circle x^(2)+y^(2)+2x+2y+1=0 and x^(2)+y^(...

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  10. The equation of the radical axis of the pair of circles 7x^(2) + 7y^(...

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  11. If the lengths of tangents drawn to the circles x^(2) + y^(2) - 8x +...

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  12. If the circle x^(2) + y^(2) + 2x + 3y + 1 = 0 cuts another circle x^(2...

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  13. The point (3,-4) lies on both the circles x^(2) + y^(2) - 2x + 8y + 1...

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  14. The equation of the circle which passes the origin and cuts orthogonal...

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  15. The condition for the coaxial system x^(2) + y^(2) + 2 lambda x + c ...

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  16. The equation of the circle whose diameter is the common chord of the c...

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  17. If the circle x^(2) + y^(2) + 6x - 2y + k = 0 bisects the circumferen...

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  18. The limiting points of the coxail system containing the two circules ...

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  19. The radical axis of circles x^(2) + y^(2) + 5x + 4y - 5 = 0 and x^...

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  20. If the polar of a point on the circle x^(2) + y^(2) = p^(2) with respe...

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