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If a point P is moving such that the len...

If a point P is moving such that the length
of tangents drawn from P to
`x^(2) + y^(2) - 2x + 4 y - 20= 0" ___"(1)`.
and `x^(2) + y^(2) - 2x - 8 y +1= 0" ___"(2)`.
are in the ratio `2:1`
Then show that the equation of the locus
of P is `x^(2) + y^(2) - 2x - 12 y +8= 0`

Text Solution

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The correct Answer is:
` x^(2)+ y^(2) -2x -12y +8=0 `
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AAKASH SERIES-CIRCLE-EXERCISE -1.2
  1. If the length of the tangent from (5,4) to the circle x^(2) + y^(2) ...

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

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  3. If a point P is moving such that the length of tangents drawn from P...

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

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

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

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  7. Obtain the parametric equation of each of the following circles. 4...

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

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  9. If x=-1 + 5 cos theta , y = 2 + 5 sin theta , show that the locus of...

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  10. If the parametric values of two points A and B lying on the circle ...

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  11. Find the equation of the tangent at the point 30^(@) (parametric val...

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  12. Locate the position of the point P with respect to the circle S =0 whe...

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  13. Locate the position of the point P with respect to the circle S =0 whe...

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  14. Locate the position of the point P with respect to the circle S =0 whe...

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  15. Locate the position of the point P with respect to the circle S =0 whe...

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  16. Find the power of the point P w.r.t the circle S=0 when (i) P(1,2) a...

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  17. Find the power of the point P w.r.t. the circle S =0 when P(2,4) ...

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  18. Locate the position of the point P with respect to the circle S =0 whe...

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  19. Find the power of the point P w.r.t the circle S=0 when (i) P(1,2) a...

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  20. Find the power of the point P w.r.t. the circle S =0 when P(2,4) ...

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