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If x^2+y^2-2 x-2 y+1=0& x^2+y^2+a x+b y+...

If `x^2+y^2-2 x-2 y+1=0`& `x^2+y^2+a x+b y+c=0` are incircle & circumcircle of an equilateral triangle respectively, then -(a+b-c) is

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CENGAGE-CIRCLES-Question Bank
  1. If the tangent at the point P on the circle x^2+y^2+6 x+6 y=2 meets th...

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  2. If the common chord of the circles x^2+(y-k)^2=16 and x^2+y^2=16 subte...

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  3. If the cquation of the circle which touches the curve x^2+x-y+x y=8 at...

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  4. Given 2 fixed points A(2,4) and B(5,1) . A variable point P is taken o...

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  5. Number of integral values of c for which the line 3 x-4 y +c=0 has no ...

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  6. If x^2+y^2-2 x-2 y+1=0& x^2+y^2+a x+b y+c=0 are incircle & circumcircl...

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  7. Let A(2,3), B(4,5) and let C=(x, y). be a point such that (x-2)(x-4)+(...

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  8. If x^2+y^2+2 g x+2 f y+c=0 is equation of smallest circle which is pas...

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  9. The radius of the circle whose two normals are represented by the equa...

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  10. If the diagram, D C is a diameter of the large circle centered at A, a...

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  11. If 2 x-3 y=0 is the equation of the common chord of the circles, x^2+y...

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  12. If one of the diameters of the circle x^2+y^2-2 x-6 y+6 =0 is a chord ...

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  13. A circle C1 touches the y -axis at (0,4) and cuts the negative x -axis...

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  14. In the figure given, two circles with centres Ct and C2 are 35 units a...

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  15. If the straight line y=k x forall k in I touches or passes outside the...

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  16. The lines 3 x-4 y+4=0 and 6 x-8 y-7=0 are tangents to the same circle ...

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  17. If a point (alpha, beta) lying on 4 x^2+4 x y+2 y^2=1 satisfies ...

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  18. The maximum distance of the point (4,4) from the circle x^2+y^2-2 x-...

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  19. If the circle (x-a)^2+y^2=25 intersects the circle x^2+(y-b)^2=16 in s...

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  20. If a circle S(x, y)=0 touches at the point (2,3) of the line x+y=5 and...

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