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If the radical axis of the circles x^2+y...

If the radical axis of the circles `x^2+y^2+2gx+2fy+c=0` and `2x^2+2y^2+3x+8y+2c=0` touches the circle :
`x^2+y^2+2x+2y+1=0` , then :

A

`g=3/4 , f ne 2`

B

`g ne 3/4 , f=2`

C

`g=3/4 , f=2`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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MODERN PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -MCQs LEVEL - II
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  2. Two tangents to the circle x^2 + y^2 = 4 at the points A and B meet at...

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  3. If the radical axis of the circles x^2+y^2+2gx+2fy+c=0 and 2x^2+2y^2+3...

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  4. The equation of the circle having its centre on the line x +2y - 3 = 0...

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  5. The number of common tangents to the circles x^(2) + y^(2) = 4 and x^(...

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  6. Number of common tangents to the circles : x^2+y^2 -6x-14y+48=0 and x^...

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  7. The locus of the centre of a circle which cuts orthogonally the circle...

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  8. Co-ordinates of radical centre of the circles : x^2+y^2 = 9 , x^2+y^2 ...

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  9. The equation of the family of circles, which same radical axis, as the...

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  10. If one of the circles: x^2+y^2 +2ax+c=0 and x^2+y^2 + 2bx+c=0 lies wi...

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  11. The radius of the smallest circle, which passes through the points of ...

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  12. The equation of the four circles are (x pm a)^2 + (y pm a)^2 = a^2. Th...

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  13. The circles : x^2+y^2 +2g1x-a^2 =0 and x^2+y^2 +2g2x-a^2=0 cut each ot...

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  14. If the circle x^2+y^2+2gx+2fy+c=0 bisects the circumference of the cir...

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  15. Let AB be a chord of the circle x^2+y^2=a^2 subtending a right angle ...

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  16. Locus of centroid of the triangle whose vertices are (a cos t, a sin t...

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  17. If the circles x^2 + y^2 + 2ax + cy+ a = 0 and x^2 + y^2 - 3ax + dy - ...

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

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  19. If the pair of lines ax^2 +2 (a + b) xy + by^2 =0 lie along diameters ...

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