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Find the equation of the circle which ...

Find the equation of the circle which
touches the circle `x^(2) + y^(2) - 2x - 4y - 20 = 0`
externally at `(5, 5)` with radius 5.

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Verified by Experts

The correct Answer is:
If (h, k) is the centre of the required circle
(5, 5) is the mid-point of (1, 2) and (h, k).
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-CIRCLE-EXERCISE - 1(e)
  1. Find the number of possible common tangents that exist for the follo...

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  2. Find the number of possible common tangents that exist for the follo...

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  3. Find the number of possible common tangents that exist for the follo...

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  4. Find the number of possible common tangents that exist for the follo...

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  5. Find the internal centre of similitude for the circles x^(2) + y^(2)...

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  6. Find the external centre of similitude for the circles x^(2) + y^(2...

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  7. Show that the circle x^(2) +y^2) - 6x -2y + 1 = 0, x^(2) + y^(2)...

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  8. Show thet x^(2) + y^(2) - 6x - 9y + 13 = 0 , x^(2) + y^(2) - 2x - 1...

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  9. Find the equation of the circle which touches the circle x^(2) + y^(...

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  10. Find the direct common tangents of the circles. x^(2) + y^(2) + 2...

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  11. Find the transverse common tangents of the circles x^(2) + y^(2) -4...

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  12. Find the pair of tangents from (4, 10) to the circle x^(2) + y^(2) =...

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  13. Find the pair of tangents drawn from (0,0) to x^(2) + y^(2) + 10x + ...

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  14. Find thhe equation of the circle which touches x^(2) + y^(2) - 4x +6...

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  15. Find all common tangents of the following pairs of circles. x^(2) ...

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  16. Find all common tangents of the following pairs of circles. x^(2) ...

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  17. Find the pair of tangents drawn from (3,2) to the circle x^(2) + y^...

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  18. Find the pair of tangents drawn from (1,3) to the circle x^(2) + y^...

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  19. Find the pair of tangents form the origin to the circle x^(2) + y^(2...

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  20. From a point on the circle x^(2) + y^(2) + 2gx + 2fy + c = 0 two tan...

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