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Show that the circle S-= x^(2) + y^(2) +...

Show that the circle `S-= x^(2) + y^(2) + 2gx +`
` 2fy + c = 0` touches the
(i) X- axis if `g^(2) = c`
(ii) Y - axis if `f^(2) = c.`

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Show that the circle S = x^(2) +y^(2) +2gx +2fy +c=0 touches the y - axis if f^(2) =c

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AAKASH SERIES-CIRCLE-EXERCISE -1.2
  1. find the equation of the tajngents ot the circle x^(2) + y^(2) - 4x ...

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  2. Show that the circle S-= x^(2) + y^(2) + 2gx + 2fy + c = 0 touches ...

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  3. Show that the circle S-= x^(2) + y^(2) + 2gx + 2fy + c = 0 touches ...

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  4. Find the equation of the circle with centre (-3, 4) and touching y-...

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  5. Show that the line 5x + 12y - 4 = 0 touches the circle x^(2)+ y^(...

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  6. If 4-3y+7 = 0 is a tangent ot the circle repesented by x^(2) + y^(2)...

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  7. Prove that the tangent at (3,-2) of the circle x^(2) + y^(2) = 13 ...

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  8. Show that x + y + 1 = 0 touches the circle x^(2) + y^(2) -3x + 7y 1...

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  9. Find the equation of the circle passing through (-1,0) and touching ...

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  10. Fing the length of tangent from P to the ltbr., circle S = 0 when P ...

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  11. Fing the length of tangent from P to the ltbr., circle S = 0 when P=...

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  12. Fing the length of tangent from P to the ltbr., circle S = 0 when P ...

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  13. If the length of the tangent from (5,4) to the circle x^(2) + y^(2) ...

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  14. If a point P is moving such that the lengths of the tangents drawn f...

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  15. If the lengths of the tangents drawn from P to the circles x^(2)+y^(2)...

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  16. Find the locus of P if the tangents drawn from P to x^(2) + y^(2) =...

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  17. From any point on the circle x^(2)+y^(2)+2gx+2fy+c=0 tangents are draw...

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  18. Find the parametric equations of the circles x^(2) + y^(2) - 4x + 6...

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  19. Find the parametric equations of the cirlces (i) x^(2)+y^(2)=1 (ii)...

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  20. Obtain the parametric equation of each of the following circles. (...

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