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Show that the circles x^(2) + y^(2) -6x...

Show that the circles `x^(2) + y^(2) -6x -2y + 1=0 , x ^(2) + y^(2) + 2x -8y + 13 =0 ` touch each other find the point of contact and the equation of the common tangent at their point of contact.

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Show that the circle x^(2) +y^2) - 6x -2y + 1 = 0, x^(2) + y^(2) + 2x - 8y + 13 = 0 touch each other. Find the point of contact and the equation of common tangent at their point of contact.

Show that x^(2) + y^(2) -6x -9y +13 =0, x^(2) +y^(2) -2x -16y =0 touch each other . Find the point of contact and the equation of common tangent at their point of contact.

Show that the circles x^2 + y^2 - 2y -8x+ 8 = 0 and x^2 + y^2 - 2x + 6y + 6 = 0 touch each other and find the point of contact.

Show that the circles x^(2) +y^(2) -4x-6y-12=0 and 5(x^(2)+y^(2))-8x - 14y - 32 = 0 touch each other and find their point of contact.

Show that the circles x^(2) + y^(2)-4x-6y-12=0 and x^(2) +y^(2) + 6x + 18 y + 26 = 0 touch each other. Also find the point of contact and common tangent at this point of contact.

Show that the circles x^(2)+y^(2)-8x-2y+8=0 and x^(2)+y^(2)-2x+6y+6=0 touch each other and find the point of contact.

Show that the circles S=-x^(2) + y^(2) -2x-4y -20 =0 , S' = x^(2) +y^(2) +6x+ 2y -90 =0 touch each other internally . Find their point contact.

Show that the circles x^2 + y^2 - 2x =0 and x^2 + y^2 + 6x - 6y + 2 = 0 touch each of contact . Is the point of contact external or internal?

AAKASH SERIES-CIRCLE-EXERCISE -1.4
  1. The area of the quadrilateral formed by the tangents from the point (4...

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

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

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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. Show that the circles x^(2) +y^(2) -4x-6y-12=0 and 5(x^(2)+y^(2))-...

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

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  9. Show that the circles x^(2) + y^(2)-4x-6y-12=0 and x^(2) +y^(2) +...

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

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

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  12. Show that the four common tangents can be drawn for the circles give...

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  13. Prove that the circles x^(2) + y^(2) -8x -6y +21=0 and x^(2) + y^(2) ...

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  14. Find the direct common tangents of the circles x^(2) + y^(2) +22x -4y...

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

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  16. Find all common tangents of the pairs of circles x^(2) +y^(2) =0 a...

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  17. Find all common tangents of the pairs of circles x^(2) +y^(2) =0 a...

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  18. Let A be the centre of the circle x^(2)+y^(2)-2x-4y-20=0. Suppose that...

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  19. Find the value of c for which A(2,0),B(0,14//3) ,C(4,5) and D(0,c) a...

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  20. The area of the quadrilateral formed by the tangents from the point (4...

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