Compute the shortest distance between the circle and the point .
Explanation for the correct option:
Step 1: Find the centre and radius of the circle:
Compare the given circle with the standard equation of the circle to get the centre and radius.
Given:
Centre will be negative of coefficient of
Also, the radius is estimated using the coefficient of and the constant.
Step 2: Find the distance between the centre and the given point:
Use the distance formula to estimate the distance between the points.
Step 3: Find the shortest distance between the point and the circle:
Use the relation that the shortest distance will be the distance between centre and radius deducted from radius.
Hence, option (C) is the correct answer.