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The radical axis of the circleS x^(2)+y...

The radical axis of the circleS `x^(2)+y^(2)+4 x=1` and `4 x^(2)+4 y^(2)=9` is

A

`x^(2)+y^(2)+8 x-14 y-9=0`

B

`x^(2)+y^(2)-8 x+14 y+9=0`

C

`x^(2)+y^(2)+2 x-4 y+5=0`

D

`x^(2)+y^(2)+5 x-9 y-1=0`

Text Solution

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The correct Answer is:
A
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HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
  1. The equation of the circle passing through (2 a, 0) and whose radical...

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  2. The radical axis of the circleS x^(2)+y^(2)+4 x=1 and 4 x^(2)+4 y^(2)...

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  3. The radical axis of the circleS x^(2)+y^(2)+4 x=1 and 4 x^(2)+4 y^(2)...

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  4. The radical centre of the three circleS deseribed on the three sides ...

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  5. A circle passes through the point of intersection of the line x=0 and...

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  6. If 2 x-3 y=0 is the equation of the common chord of the circleS x^(2)...

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  7. The number of tangtnts from (1,2) to the circle x^(2)+y^(2)-2 x-4 y+4...

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  8. If the circleS x^(2)+y^(2)-6 x-8 y+c=0 and x^(2)+y^(2)=9 have three c...

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  9. The ltngth of the tangtnt to the circle x^(2)+y^(2)-2 x-y-7=0 at (-1,...

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  10. The number of common tangtnts to the circleS x^(2)+y^(2)+2 x+8 y-23=0...

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  11. If two circleS x^(2)+y^(2)=4 and x^(2)+y^(2)-24 x-10 y+a^(2)=0 have e...

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  12. The abscissa of two points A and B are the roots of x^(2)-4 x+2=0 and ...

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  13. The image of the circle x^(2)+y^(2)-2 x=0 in the line x+y=2 is the c...

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  14. The ltngth of the chord of the circle x^(2)+y^(2)-6 x+4 y-5=0 interce...

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  15. Image of the circle x^(2)+y^(2)+16 x+18 y+85=0 in the y -axis is

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  16. The equation of a circle with origin as centre and passing through the...

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  17. A square in inscribed in the circle x^(2)+y^(2)-2 x+4 y-3=0 . Its sid...

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  18. The equation to the circle with centre (2, 1) and touching the line 3x...

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  19. The line y=x+a sqrt(2) touches the circle x^(2)+y^(2)=a^(2) at the po...

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  20. The equation of a circle is x^(2)+y^(2)=25. The equation of its chord...

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