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If (-1/3-1) is a centre of similitude fo...

If `(-1/3-1)` is a centre of similitude for the circles `x^(2)+y^(2)=1` and `x^(2)+y^(2)_2x-6y-6=0` then the length of common tangent of the circles is

A

`1/3`

B

`4/3`

C

`1`

D

cannot be determined

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Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-CIRCLES-EXERCISE II
  1. If the circles (x-a)^(2)+(y-b)^(2)=r^(2), (x-b)^(2)+(y-a)^(2)=r^(2) to...

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  2. The common tangents to the circles x^(2)+y^(2)-6x=0, x^(2)+y^(2)+2x=0 ...

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  3. If the two circles x^(2)+y^(2)+2gz+2fy=0 and x^(2)+y^(2)+2g'x+2f'y=0 t...

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  4. The point of contact of the circle x^(2)+y^(2)+2x+2y+1=0 and x^(2)+y^(...

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  5. The two circles x^(2)+y^(2)=ax, x^(2)+y^(2)=c^(2) (c gt 0) touch each ...

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  6. If the distance between the centres of two circles of radio 3,4 is 25 ...

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  7. Lengths of common tangents of the circles x^(2)+y^(2)=6x,x^(2)+y^(2)+2...

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  8. If (-1/3-1) is a centre of similitude for the circles x^(2)+y^(2)=1 an...

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  9. The equation of the circle radius is 5 and which touches the circle x^...

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  10. Locus of the centre of circle of radius 2 which rolls on out side the ...

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  11. The locus of the centre of a circle which touches externally the circl...

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  12. The centre of the circle passing through the points (0,0), (1,0) and t...

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  13. A rectangle ABCD is inscribed in a circle with a diameter lying along ...

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  14. Find the area of the triangle formed by two tangents drawn from (3,5) ...

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  15. The area of the triangle formed by the tangent drawn at the point (-12...

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

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  17. Let AB be the chord 4x-3y+5=0 with respect to the circle x^(2)+y^(2)-2...

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  18. Consider the circle x^(2)+y^(2)-4x-2y+c=0 whose centre is A(2, 1) If t...

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  19. For the circle C with the equation x^(2) + y^(2) - 16x - 12y + 64 = 0 ...

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  20. Find the length of the common chord of the circle x^2+y^2+2hx+a^2=0 an...

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