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Tangents from point P are drawn one of each of th circle `x^(2)+y^(2)-4x-8y+11=0` and `x^(2)+y^(2)-4x-8y+15=0` if the tangents are perpendicular then the locus o P is

A

`x^(2)+y^(2)-4x-8y+6=0`

B

`x+y+10=0`

C

`y^(2)-2(x-8)`

D

`x^(2)+y^(2)-4x-8y-6=0`

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The correct Answer is:
A
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AAKASH SERIES-CIRCLES-PRACTICE EXERCISE
  1. Locus of point of intersection of perpendicular tangents to the circle...

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  2. The locus of the point of intersection of the perpendicular tangents t...

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  3. Tangents from point P are drawn one of each of th circle x^(2)+y^(2)-4...

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  4. From any point on the circle x^(2)+y^(2)=a^(2) tangent are drawn to th...

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  5. The tangents drawn from the origin x^(2)+y^(2)-2rx-2hy+h^(2)=0 are per...

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  6. The length of the tangent from a point on x^(2)+y^(2)+8x+8y-4=0 to 2x^...

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  7. If the length of the tangent from (f,g) to the circle x^(2)+y^(2)=6 be...

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  8. If the square of the length of the tangents from a point P to the circ...

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  9. If the length of the tangent from (1,2) to the circle x^(2)+y^2+x+y-4=...

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  10. A tangent to the circle x^(2)+y^(2)=4 meets the coordinate axes at P a...

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  11. The locus of the point of intersection of tangents to the circle x=a c...

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  12. The circle with centre (2,3) touching x-axis has the radius equal to

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  13. Circle touching y-axis and centre (3,2) is

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  14. The equation of the circle touching both the axes, lying in the third...

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  15. The x intercept of the circle x^(2)+y^(2)+8x-9=0 is

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  16. x^(2)+y^(2)-14x-10y+24=0 makes an

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  17. If x^(2)+y^(2)+6x+2ky+25=0 to touch y-axis then k=

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  18. A circle passes through (-2,4) and touches the y-axis at (0,2). Which ...

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  19. If I(1),I(2),I(3) are the intercept on x-axis, y-axis, y=x w.r.t x^(2)...

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  20. If a circle of radius 4 touches x-axis at (2,0) then its centre may be

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