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If the circle x^2+y^2+2gx+2fy+c=0 is tou...

If the circle `x^2+y^2+2gx+2fy+c=0` is touched by `y=x` at `P` such that `O P=6sqrt(2),` then the value of `c` is 36 (b) 144 (c) 72 (d) none of these

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. From the variable point A on circle x^2+y^2=2a^2, two tangents are dra...

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  2. Two fixed circles with radii r1 and r2,(r1> r2) , respectively, touch ...

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  3. If the circle x^2+y^2+2gx+2fy+c=0 is touched by y=x at P such that O P...

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  4. Find the radius of the smallest circle which touches the straight line...

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  5. The number of points P(x , y) lying inside or on the circle x^2+y^2=9 ...

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  6. C1 and C2 are circle of unit radius with centers at (0, 0) and (1, 0),...

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  7. The area of the triangle formed by the positive x-axis, and the normal...

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  8. Find the equation of the smallest circle passing through the point of ...

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  9. Let P be a point on the circle x^2+y^2=9,Q a point on the line 7x+y+3=...

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  10. Show that the equation of the circle passing through (1, 1) and the ...

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  11. A straight line moves such that the algebraic sum of the perpendicular...

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  12. Let S1 be a circle passing through A(0,1) and B(-2,2) and S2 be a circ...

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  13. The coordinates of middle point of the chord 2x-5y+18=0 cut of by the ...

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  14. A variable circle which always touches the line x+y-2=0 at (1, 1) cuts...

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  15. The range of parameter ' a ' for which the variable line y=2x+a lies b...

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  16. Find the equation of the circle which is touched by y=x , has its cent...

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  17. Find the locus of the centers of the circles x^2+y^2-2ax-2b y+2=0 , w...

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  18. A circle touches the y-axis at the point (0, 4) and cuts the x-axis in...

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  19. Three concentrict circles of which the biggest is x^2+y^2=1 , have the...

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  20. Tangents PA and PB are drawn to x^2+y^2=a^2 from the point P(x1, y1)do...

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