The straight line 2 x+3 y-k=0, k>0 cuts the X - and Y-axes at A and B. The area of \triangle O A B, where O is the origin, is 12 sq. units. The equation of the circle having A B as diameter is

Correct Answer is : x2+y2−6x−4y=0

KCET 2010 Math Solved Paper

Question : 3 of 60

Marks: +1, -0

The straight line 2x+3y−k=0,k>0 cuts the X - and Y-axes at A and B. The area of △OAB, where O is the origin, is 12 sq. units. The equation of the circle having AB as diameter is

x2+y2−6x+4y=0
x2+y2−4x−6y=0
x2+y2−6x−4y=0
x2+y2+4x−6y=0

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