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Find the equation of the circle through the points of intersection of the circles `x² + y^2 - 4x – 6y - 12 = 0` and `x² + y^2 + 6x + 4y - 12 = 0` and cutting the circle `x² + y^2 - 2x - 4 = 0` orthogonally.

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The correct Answer is:
`x^(2) + y^(2) + 16x + 14y - 12 = 0`
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Find the equation of the circle through the points of interrection of the circles x^(2)+y^(2)-4x-6y-12=0 and x^(2)+y^(2)+6x+4y-12=0 and cutting the circle x^(2)+y^(2)-2x-4=0 orthogonally.

If the equation of the circle throught the points of intersection of the circles x^(2)+y^(2)-4x-6y-12=0 and x^(2)+y^(2)+"Ax"+"By"+C=0 and intersecting the circle x^(2)+y^(2)-2x-4=0 orthogonally is x^(2)+y^(2)+"Ax"+"By"+C=0 , then find teh value of (A+B+C) .

Find the equation of the circle passing through the points of intersection of the circles x^(2)+y^(2)-2x-4y-4=0 and x^(2)+y^(2)-10x-12y+40=0 and whose radius is 4.

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MOTION-CIRCLE-Exercise - 3 (Subjective | JEE Advanced)
  1. Find the equation of the circle whose diameter is the common chord of ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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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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