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If the length of the tangent from (h,k) to the circle `x^(2)+y^2=16` is twice the length of the tangent from the same point to the circle `x^(2)+y^(2)+2x+2y=0`, then

A

`h^(2)+k^(2)+4h+4k+16=0`

B

`h^(2)+k^(2)+3h+3k=0`

C

`3h^(2)+3k^(2)+8h+8k+16=0`

D

`3h^(2)+3k^(2)+4h+4k+16=0`

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1B(Circle-Line)
  1. If theline y=x touches the circle x^(2)+y^(2)+2gx+2fy+c=0 at P where O...

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  2. A circle S=0 with radius sqrt2 touches the line x+y-2=0 at (1,1). Then...

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  3. If the length of the tangent from (h,k) to the circle x^(2)+y^2=16 is ...

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

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  5. If the length of the tangents from any point on the circle 15x^(2)+15y...

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

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

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  8. If OA and OB are the tangent from the origin to the circle x^(2)+y^(2)...

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  9. If the distances from the origin to the centres of three circles x^(2)...

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  10. The equation to the circle which is such that the lengths of the tange...

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

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  12. The locus of the point the lengths of the tangents from which to the c...

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  13. The locus of the point, the lengths of the tangents from which to the ...

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  14. The locus of the points from which the lengths of the tangents to the ...

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  15. The locus of the point which is such that the lengths of the tangents ...

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  16. The length of the intercept made by the circle x^(2)+y^(2)-12x+14y+11=...

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  17. The length of the intercept made by the circle x^(2)+y^(2)+10x-12y-13=...

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  18. The intercept made by the circlee x^(2)+y^(2)-2hx sin theta-2ky sin th...

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  19. The extermities of a diameter of a circle have coordinate (-4,-3) and ...

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  20. The length of the chord x+2y=5 of the circle x^(2)+y^(2)=9 is

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