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Find the number of possible common tan...

Find the number of possible common
tangents that exist for the following pairs
of circles.
`x^(2) + y^(2) + 6x + 6y + 14 = 0`
`x^(2) + y(2) - 2x -4y -4 =0`

Text Solution

Verified by Experts

The correct Answer is:
The circles are externally No. of common
tangents = 4
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Find the number of possible common tangent that exits for the following pairs of circle. (a) x^(2) + y ^(2) -4x -2y +1= 0, x^(2) +y^(2) -6x -4y +4=0 (b) x^(2) + y ^(2) -4 x + 2y -4=0 , x^(2) + y ^(2) + 2x - 6y + 6=0

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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-CIRCLE-EXERCISE - 1(e)
  1. Discuss the relative position of the fol- lowing pair of circles. ...

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  2. Discuss the relative position of the fol- lowing pair of circles. ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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