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If the two circles (x-1)^(2)+(y-3)^(2)=r...

If the two circles `(x-1)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-8x+2y+8=0` intersect in two distinct points, then

A

`rgt2`

B

`2ltr lt 8`

C

`rlt2`

D

`r=2`

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The correct Answer is:
B
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AAKASH SERIES-CIRCLES-EXERCISE II
  1. The loucs of the point of intersection of the tangents to the circle x...

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  2. The locus of a point which divides the join of A(-1,1) and a variable ...

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  3. If the two circles (x-1)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-8x+2y+8=0...

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  4. Ilf the circle x^(2)+y^(2)=2 and x^(2)+y^(2)4x-4y+lamda=0 have exactly...

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  5. If the circles (x-a)^(2)+(y-b)^(2)=r^(2), (x-b)^(2)+(y-a)^(2)=r^(2) to...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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