Question

The equation of the circle passing through the origin and cutting intercepts of length 3 and 4 units from the positive axes, is

• A.
• B.
• C.
• D.

Answer 1

The correct option is D

Obviously the centre of the circle is $(\frac{3}{2},2).$
Therefore, the equation of circle is
${(x-\frac{3}{2})}^2+(y–2{)}^2={\left(\frac{5}{2}\right)}^2\Rightarrow x^2+y^2-3x-4y=0.$