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1989

JEE Main 1989 Mathematics question on Circles

The lines 2x−3y=52x - 3y = 5 and 3x−4y=73x - 4y = 7 are diameters of a circle of area 154154 sq units. Then, the equation of this circle is
  1. A.
    x2+y2+2x−2y=62x^2 + y^2 + 2x - 2y = 62
  2. B.
    x2+y2+2x−2y=47x^2 + y^2 + 2x - 2y = 47
  3. C.
    x2+y2−2x+2y=47x^2 + y^2 - 2x + 2y = 47
  4. D.
    x2+y2−2x+2y=62x^2 + y^2 - 2x + 2y = 62
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Correct option: C

[1989]

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