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Prove that the circles x^(2) +y^(2) - 4x...

Prove that the circles `x^(2) +y^(2) - 4x + 6y + 8 = 0` and `x^(2) + y^(2) - 10x - 6y + 14 = 0` touch at the point (3,-1)

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ICSE-CIRCLE-EXERCISE 17(B)
  1. Find'the centre and radius of the circle (i) x^(2) +y^(2) + 4x - 1 ...

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  2. Find the lengths of the intercepts of the circle 3x^(2) + 3y^(2) - 5x ...

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  3. Find the equation of the circle, which passes through the point (5,4) ...

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  4. The radius of the circle x^(2) + y^(2) -2x + 3y+k = 0 is 2 1/2 Find th...

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  5. Prove that the circle x^(2) +y^(2) - 6 x -2 y + 9 = 0 (i) touches th...

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  6. Find the co-ordinates of the centre of the circle x^(2) + y^(2) - 4x +...

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  7. Find the equation of the Circle whose centre is at the point (4, 5) an...

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  8. Prove that the circles x^(2) +y^(2) - 4x + 6y + 8 = 0 and x^(2) + y^(2...

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  9. Show that the circles x^(2) + y^(2) + 2x = 0 and x^(2)+ y^(2) - 6 x -6...

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  10. Show that the circles x^(2) + y^(2) + 2 x -6 y + 9 = 0 and x^(2) +y^(2...

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  11. Find the equation of the circle which passes through the points (0,0),...

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  12. Find the centre and radius of the circle which passes through lie poin...

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  13. Find the equation of the circle circumscribing the triangle formed by ...

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  14. Show that the circle x^(2)+ y^(2) - 4x + 4y + 4 = 0 touches the co-ord...

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  15. Find the equation of the circle which passes through the points P(l, 0...

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  16. Find the equation of the circle which has its centre on the line y = 2...

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  17. Find the equation of the circle which passes through the points (1 ,-2...

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  18. The vertices A, B, C of a triangle ABC have co-ordinates (4,4), (5,3) ...

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  19. The radius of a circle is 5 units and it touches the circle x^(2) + y^...

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  20. Find the equation of the circle which passes through the points (5,0) ...

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