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

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 ) -4 xx 13 - 2(2x + 3y - 1) = 0 `
`13 (x^2 + y^2) - 4x - 6y - 50 = 0.`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-SYSTEM OF CIRCLE-EXERXCISE - 2(a)
  1. Show that the angle between the circles x^2 + y^2 = a^2,x^2 + y^2 = ...

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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 equation intersect each o...

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

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

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

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

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  8. Find the equation of the circle which passes through the point (0,-3) ...

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

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

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  11. Find the equation of the circle which cuts orthogonally the circle x^2...

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  12. Find the equation of the circle which intersects the circle x^2 + y^...

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  13. Find the equation of the circle which cuts the circle x^2 + y^2 + 4x -...

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  14. If P, Q are conjugate points with respect to a circles S -= x^2 + y^2 ...

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  15. If the equation fo two circles whose radii are a, a ' are S = 0 and ...

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  16. Find the equation of the circle which intersects each of the following...

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  17. Find the equation of the circle which intersects each of the following...

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  18. If the straight line 2x + 3y = 1 intersects the circle x^2 + y^2 = 4 a...

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

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  20. Find the equation of the circle passing through the intersection of th...

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