Step 1: Find of the position of the point. (inside, outside or surface of the circle)
NOTE: According to the "Angle in a semicircle theorem". (Since PQR = 90)
"An angle inscribed in a semicircle is always a right angle"
Step 2: Find the coordinates of the of the r lies on the circle
NOTE: If the line intersecting the y-axis then put x = 0 in the equation
If the line intersecting the x-axis then put y = 0 in the equation.
EXAMPLE: x^2 + y^2 - 6x + 4y = 12
Put x = 0 because the point on the y- axis
y^2 + 4y = 12
Step 3: Solve the quadratic equation to find the coordinates.
NOTE: Factorize the equation.
EXAMPLE: y^2 + 4y = 12
(y – 2)(y + 6) = 0.