The centre of the circle passing through origin and making positive intercepts 4 and 6 on the coordinate axes, lies on the line

• A

  $2 x-y+1=0$
• B

  $3 x-2 y-1=0$
• Correct answer
  C

  $3 x-4 y+6=0$
• D

  $2 x+3 y-26=0$

Solution

Centre $C(x, y)$
$=\left(\frac{4+0}{2}, \frac{0+6}{2}\right)=(2,3)$ Which satisfy the equation $3 x-4 y+6=0$

Hence, the correct answer is option: 'C'.