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The centre of the circle `S=0` lie on the line `2x – 2y +9=0 & S=0` cuts orthogonally `x^2 + y^2=4`. Show that circle `S=0` passes through two fixed points & find their coordinates.

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The correct Answer is:
`(-4, 4); (-1//2, (1//2)`
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MOTION-CIRCLE-Exercise - 3 (Subjective | JEE Advanced)
  1. If the radical axis of the circles x^2+y^2+2gx+2fy+c=0 and 2x^2+2y^2+3...

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  2. Find the equation of the circle through the points of intersection of ...

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  3. The centre of the circle S=0 lie on the line 2x – 2y +9=0 & S=0 cuts o...

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  4. Find the equation of a circle passing through the origin if the line p...

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  5. Find the equation of the circle which cuts the circle x^2 + y^2 - 14x...

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  6. The locus of the centers of the circles which cut the circles x^(2) + ...

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  7. The equation of a circle which touches the line x +y= 5 at N(-2,7) and...

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  8. Find the equation of the circle passing through the point (– 6, 0) if ...

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  9. Find the equation of the circle which passes through the origin, meets...

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  10. Determine the nature of the quadrilateral formed by four lines 3x+4y ...

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  11. The line lx+my+n=0 intersects the curve ax^2 + 2hxy + by^2 = 1 at the ...

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  12. One of the diameters of the circle circumscribing the rectangle ABCD i...

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  13. Find the equations of straight lines which pass through the intersecti...

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  14. In the given figure, the circle x^2 + y^2 = 25 intersects the x-axis...

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  15. In the given figure, the circle x^2 + y^2 = 25 intersects the x-axis...

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  16. In the given figure, the circle x^2 + y^2 = 25 intersects the x-axis...

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  17. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

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  18. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

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  19. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

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  20. A point moving around circle (x + 4)^2 + (y +2)^2 =25 with centre C br...

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