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Show that the equation of the circle pas...

Show that the equation of the circle passing through (1, 1) and the points of intersection of the circles `x^2+y^2+13 x-13 y=0` and `2x^2+2y^2+4x-7y-25=0` is `4x^2+4y^2+30 x-13 y-25=0.`

A

`4x^(2) + 4y^(2) - 30 x - 10 y = 25`

B

`4x^(2) + 4y^(2) + 30x -13y -25 =0`

C

` 4x^(2) + 4y^(2) - 17x -10y + 25 = 0`

D

None of these

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The correct Answer is:
B
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VMC MODULES ENGLISH-CIRCLES-JEE ADVANCED ( ARCHIVE )
  1. about to only mathematics

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  2. The center(s) of the circle(s) passing through the points (0, 0) and ...

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  3. Show that the equation of the circle passing through (1, 1) and the ...

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  4. Two circle x^2+y^2=6 and x^2+y^2-6x+8=0 are given. Then the equation o...

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  5. about to only mathematics

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

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  7. about to only mathematics

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  8. The points of intersection of the line 4x-3y-10=0 and the circle x^2+y...

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  9. about to only mathematics

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  10. Consider a family of circle passing thorugh two fixed points A(3,7) an...

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  11. about to only mathematics

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  12. Let S -= x^(2)+y^(2)+2gx+2fy+c=0 be a given circle. Find the locus o...

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  13. about to only mathematics

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  14. Find the equations of the circles passing through the point (-4,3) and...

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  15. Find the equation of a circle which passes through the point (2,0) ...

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  16. The locus of the mid-point of the chord of contact of tangents drawn f...

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  17. Tangents drawn from the point P(1,8) to the circle x^(2)+y^(2)-6x-4y-1...

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  18. The locus of the midpoint of a chord of the circle x^2+y^2=4 which sub...

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  19. The equation of the tangents drawn from the origin to the circle x^(2)...

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  20. Consider: L1:2x+3y+p-3=0 L2:2x+3y+p+3=0 where p is a real number and...

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