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

If 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

`2 lt r lt 8`

B

`r=2`

C

`r lt 2`

D

`r gt 2`

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The correct Answer is:
A
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ML KHANNA-THE CIRCLE -Self Assessment Test
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  2. The equation of tangents drawn from the origin to the circle x^(2)+y^(...

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  3. Find the angle between the two tangents from the origin to the circle ...

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

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  5. Find the number of common tangent to the circles x^2+y^2+2x+8y-23=0 an...

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  6. If (x,3) and (3,5) are the extermities of a diameter of a circle with ...

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  7. If the lines 2x-3y=5 and 3x-4y=7 are the diameters of a circle of area...

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  8. The point diametrically opposite to the point P(1,0) on the circle x^(...

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  9. The centre of circle inscribed in a square formed by lines x^2-8x+1...

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  10. If the lines 2x+3y+1=0 and 3x-y-4=0 lie along diameters of a circle ...

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  11. Tangents drawn from the point P(1,8) to the circle x^(2) + y^(2) - 6x ...

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  12. The radius of the circle, having centre at (2, 1) whose one of the cho...

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  13. The intercept on the line y=x by the circle x^(2)+y^(2)-2x=0 is AB. T...

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  14. The locus of centre of circle passing through (a, b) and cuts orthogon...

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  15. The tangent to the curve y=e^(x) drawn at the point (c,e^(c )) interse...

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  16. If a circle passes through the point (a,b) and cuts the circle x^(2)+y...

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  17. The locus of centre of the circle which touches the circle x^(2)+(y-1)...

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  18. The circle passing through (1, - 2) and touching the axis of x at (3,0...

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

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  20. Three distinct point A, B and C are given in the 2-dimensional coordin...

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