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If the two circles x^(2)+y^(2)+2gx+c=0 a...

If the two circles `x^(2)+y^(2)+2gx+c=0 and x^(2)+y^(2)-2fy-c=0` have equal radius then locus of (g,f) is

A

`x^(2)+y^(2)=c^(2)`

B

`x^(2)-y^(2)=2c`

C

`x-y^(2)=c^(2)`

D

none

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1A(Circle)
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  2. The locus of a point which divides the join of A(-1, 1) and a variable...

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  3. If the two circles x^(2)+y^(2)+2gx+c=0 and x^(2)+y^(2)-2fy-c=0 have eq...

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  4. The locus of the point which moves such that the sum of the squares of...

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  5. The radius of the circle passing through the point (6, 2) and two of w...

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  6. Equation of the circle with radius 10 and whose two diameters are x+y=...

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  7. If the line 3x-2y + 6=0 meets X-axis and Y-axis respectively at A and ...

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  8. Consider the circle x^(2)+y^(2)-4x-2y+c=0 whose centre is A(2, 1) If t...

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  9. If A=(1, 2), B=(4, 5) then the equation of the circle having overset(-...

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  10. The equation of the circle through (1, 0) and (0, 1) and having talles...

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  11. Equation x^(2)+2ax-b^(2)=0 has real roots alpha,beta and equation x^(2...

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  12. If alpha, beta the roots of x^(2)+ax+b=0 and gamma,delta the roots of ...

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  13. The circle described on the line joining the points (0,1), (a,b) as di...

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  14. If the circles described on the line joining the points (0,1) and (alp...

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  15. If one end of the diameter of the circle x^(2)+y^(2)-6x+4y-12=0" is "(...

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  16. The point diametrically oppiosite to the point P (1,0) on the circle x...

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  17. The normal to the circle given by x^(2) + y^(2) - 6x + 8y - 144 = 0 at...

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  18. The centre and radius of the eircle with the segment of the line x+y=1...

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  19. If (x, 3) and (3, 5) are the ends of the diameter of a circle with cen...

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  20. The lines 2x-3y=5 and 3x-4y=7 are two diameters of a circle of area 15...

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