# How do you write the equation of the circle passing through (−2,1) and tangent to the line 3x − 2y = 6 at the point (4, 3)?

##### 2 Answers

#### Answer:

#### Explanation:

The circle equation is

Now it pass by the points

and also is tangent to the straight

So we have that for

and also for

We also know that at

Here the variables to find are

Subtracting the first and the second we have a new reduced system

finally

Another approach to the problem is to consider that the circle's center

where

From

the parameter

Expanding

substituting

then