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The equation of a circle with centre (4...

The equation of a circle with centre (4,1) and having `3 x+4 y-1=0` as tangtnt is

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
B
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HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
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  2. The locus of the point of intersection of perpendicular tangents to th...

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  3. The equation of a circle with centre (4,1) and having 3 x+4 y-1=0 as ...

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  4. The slope of the radical axis of the circleS x^(2)+y^(2)+3 x+4 y-5=0 ...

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  5. If the circle x^(2)+y^(2)+2 x-2 y+4=0 cuts the circle x^(2)+y^(2)+4 ...

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  6. The centre of the circle touching the y -axis at (0,3) and making an ...

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  7. A variablt circle passes through the fixed point (2,0) and touches th...

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  8. The number of circleS that touch all the lines x+y-4=0, x-y+2=0 and y...

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  9. The slope m of a tangtnt through the point (7,1) to the circle x^(2)+...

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  10. The number of common tangtnts that can be drawn to the circleS x^(2)+...

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  11. Two circleS of equal radius ' r ' cut orthogonally. If their centres ...

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  12. The radical axis of the circleS x^(2)+y^(2)+3 x+4 y-5=0 x^(2)+y^(...

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  13. The equation of the normal to the circle x^(2)+y^(2)+6 x+4 y-3=0 at (...

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  14. A line is at a constant distance c from the origin and meets the coord...

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  15. The four distinct points (0,0),(2,0),(0,-2) and (k,-2) are conclyic if...

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  16. The radius of the larger circle lying in the first quadrant and touch...

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  17. The equation of the circle of radius 5 and touching the coordinate ax...

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  18. If 2 x-4 y=9 and 6 x-12 y+7=0 are common tangtnts to a circle, then r...

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  19. If P is a point such that the ratio of the squares of the ltngths of t...

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  20. If the circle x^(2)+y^(2)+6 x-2 y+k=0 bisects the circumference of th...

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