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The centre of the circle S = 0 lies on t...

The centre of the circle S = 0 lies on the line 2x -2y + 9 = 0 and S = 0 cuts orthogonally the circle `x^2 + y^2 = 4`. Show that S = 0 passes through two fixed points and also find the co-ordinates of these two points.

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PATHFINDER-CIRCLE-QUESTION BANK
  1. One of the diameters of the circle circumscribing the rectangle ABCD i...

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  2. Find the locus of the mid points of the chords of the circle x^2 + y^2...

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  3. The centre of the circle S = 0 lies on the line 2x -2y + 9 = 0 and S =...

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  4. The tangents to x^2+y^2=a^2 having inclinations alpha and beta interse...

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  5. The chord of contact of tangents from a point P to a circle passes thr...

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  6. If the chord of contact of tangents from a point (x1,y1) to the circle...

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  7. The number of common tangents that can be drawn to the circles x^2+y^2...

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  8. The circles whose equations are x^2+y^2+c^2=2ax and x^2+y^2+c^2-2by=0 ...

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  9. The pole of a straight line with respect to the circle x^2+y^2=a^2 lie...

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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 within ...

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  11. The circle x^2+y^2+x+y=0 and x^2+y^2+x-y=0 intersect at an angle of :

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  12. The locus of the centre of the circle which cuts orthogonally the circ...

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

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  14. The equation of the circle passing through (2, 0) & (0, 4) and having ...

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  15. If the lines 2x-3y-5=0 and 3x-4y=7 are diameters of a circle of area 1...

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  16. If P(2,8) is an interior point of the circle x^2+y^2-2x+4y-p=0, which ...

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  17. A,B,C,D are the points of intersection with the coordinate axes of the...

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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. Equation of chord AB of circle x^2+y^2=2 passing through P(2,2) such t...

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  20. Two circles with radii a and b touch each other externally such that t...

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