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If the straight line 2x+3y=1 intersects ...

If the straight line 2x+3y=1 intersects the circle `x^2+y^2=4` at the points A and B then find the equation of the circle having AB as diameter.

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The correct Answer is:
`13(x^(2)+y^(2))-4x-6y-50=0`
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AAKASH SERIES-SYSTEM OF CIRCLES-EXERCISE -2.1
  1. Show that the circles given by the following equations intersect each ...

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  2. Show that the circles given by the following equation intersect each o...

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  3. Show that the circles given by the following equations intersect each ...

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  4. Show that the circles given by the following equation intersect each o...

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  5. Find k if the following pairs of circles are orthogonal x^2+y^2+2by-...

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  6. Find k if the following pairs of circles are orthogonal x^(2)+y^(2)-6...

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  7. Find k if the following pairs of circles are orthogonal x^(2)+y^(2)-1...

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  8. Find the equation of the circle which passes through the origin and in...

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  9. Find the equation of the circle which passes through the origin and in...

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  10. Find the equation of the circle which passes through (1,1) and cuts or...

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  11. Find the equation of the circle which cuts orthogonally the circle x^...

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  12. Find the equation of the circle which passes through the points (2,0)(...

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  13. Find the equation of circle which intersect the circle x^2+y^2-6x+4y-3...

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  14. Find the equation of the circle which cuts the circles x^2+y^2-4x-6y+1...

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  15. Find the equation of the circle passing through the origin, having its...

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  16. The equation of the circle which cuts orthogonally the three circles x...

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  17. Find the equation of the circle orthogonal to each of the circles x^(...

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  18. The equation of the circle passing through (1,2) and the points of int...

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  19. If the straight line 2x+3y=1 intersects the circle x^2+y^2=4 at the po...

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  20. If x+y=3 is the equation of the chord AB of the circle x^2+y^2-2x+4y-8...

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