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If theline y=x touches the circle x^(2)+...

If theline y=x touches the circle `x^(2)+y^(2)+2gx+2fy+c=0` at P where `OP=6sqrt2` then c=

A

36

B

72

C

18

D

144

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-CIRCLES-EXERCISE II
  1. If y=3x is a tangent to a circle with centre (1,1) then the other tang...

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  2. If the tangent at the point P on the circle x^(2)+y^(2)+6x+6y=2 meet t...

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  3. If theline y=x touches the circle x^(2)+y^(2)+2gx+2fy+c=0 at P where O...

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  4. The length of the tangent from a point on the circle x^(2)+y^(2)+4x-6y...

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  5. If the length of the tangent from (h,k) to the circle x^(2)+y^2=16 is ...

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  6. The locus of the points from which the lengths of the tangents to the ...

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  7. The tangent at any point to the circle x^(2)+y^(2)=r^(2) meets the coo...

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  8. The tangents to x^(2)+y^(2)=a^(2) having inclinations alpha and beta i...

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  9. The locus of the middle points of portions of the tangents to the circ...

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  10. Observe the lists:

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  11. If a circle of radius 2 touches X-axis at (1,0) then its centre may be

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  12. The circle passing through (1,-2) and touching the axis of x at (3,0) ...

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  13. Equation of the tangents to the circle at the point (1,-1) whose centr...

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  14. Equation of circles which touch both the axes and also the line x=k(kg...

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  15. Centres of circles touching both the axes and also the line 3x+4y-12=0...

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  16. The radius of the larger circle lying in the first quadrant and touchi...

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  17. The equation of the circles which touch the x-axis at the origin and t...

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  18. If two circles touching both the axes are passing through (2,3) then l...

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  19. The radius of the circle having maximum size passing through (2,4) and...

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  20. Consider a family of circles which are passing through the point (-1,1...

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