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If the lines 2x-3y=5 and 3x-4y=7 are the...

If the lines `2x-3y=5` and `3x-4y=7` are the diameters of a circle of area 154 square units, then obtain the equation of the circle.

A

`x^(2)+y^(2)-2x+2y-62=0`

B

`x^(2)+y^(2)-2x+2y-47=0`

C

`x^(2)+y^(2)+2x-2y-47=0`

D

`x^(2)+y^(2)+2x-2y-62=0`

Text Solution

Verified by Experts

The correct Answer is:
B
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The lines 2x-3y=5 and 3x-4y=7 are the diameters of a circle of area 154 sq.units. Then the equation of the circle is x^(2)+y^(2)+2x-2y=62x^(2)+y^(2)+2x-2y=47x^(2)+y^(2)-2x-2y=47x^(2)+y^(2)-2x+2y=62