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The equation of the radical axis of the pair of circles `7x^2+7y^2-7x+14y+18=0` and `4x^2+4y^2-7x+8y+20=0`

A

x-2y-5=0

B

21x-68=0

C

2x-y+5=0

D

23x-68=0

Text Solution

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The correct Answer is:
B
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The equation of the radical axis of the pair of circles 7x^(2) + 7y^(2) - 7x + 14 y + 18 = 0 " and " 4x^(2) + 4y^(2) - 7x + 8y + 20 = 0 is :

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Find the equation of the radical axis of the following circles. x^2 + y^2 - 3x - 4y + 5 = 0. 3(x^2 + y^2) - 7x + 8y - 11 = 0

Find the equation of the radical axis of the following circles. x^2 + y^2 + 2x + 4y + 1 = 0. x^2+y^2 + 4x + y = 0

Find the equation of the radical axis of the following circles. x^2+y^2-2x-4y-1=0 x^2+y^2-4x-6y+5=0

Find the equation of the radical axis of the following circles. x^2+y^2+2x+4y+1=0 x^2+y^2+4x+y=0

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AAKASH SERIES-SYSTEM OF CIRCLES-Exercise-I (Class work)
  1. If radii of two circles are 4 and 3 and distance between centres is sq...

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  2. The angle between the circles x^2+y^2-2x-4y+3=0 and x^2+y^2-4x-6y+11=0...

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  3. The angle between two circles , each passing through the centre of the...

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  4. The angle between the circles x^2+y^2-2x-4y+3=0 and x^2+y^2-4x-6y+11=0...

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  5. If the circles of same radii and with centres (2,3),(5,6) cut orthogon...

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  6. The circle with centres (2,3) and intersecting x^2+y^2-4x+2y-7=0 ortho...

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  7. If the circles x^2+y^2+2x+2ky+6=0 and x^2+y^2+2ky+k=0 intersect orthog...

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  8. The locus of centres of the circles which cut the circles x^2+y^2+4x-6...

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  9. The circles x^2+y^2-6x-8y+12=0, x^2+y^2-4x+6y+k=0 , cut orthogonally t...

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  10. The equation of the radical axis of the pair of circles 7x^2+7y^2-7x+1...

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  11. The common tangent at the point of contact of the two circles x^2+y^2...

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  12. The distance from origin to the radical axis of the circles x^2+y^2-3x...

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  13. Area of the triangle formed by the radical axis of the circles x^2+y^2...

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  14. The circle orthogonal to the three circles x^2+y^2+ai x +bi y+c=0, (i=...

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  15. The equation of the circle which cuts the three circles x^2+y^2-4x-6y+...

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  16. The length of the common chord of two circles of radii r1 and r2 which...

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  17. The length of the common chord of the circles of radii 15 and 20 whos...

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  18. The length of the common chord of x^2+y^2+2hx=0 , x^2+y^2-2ky=0 is

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  19. The equation of the circle passing through (1,2) and the points of int...

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

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