Question

Find the equation of the circle passing through(2,-3) (-4,5) and having the centre 4x+3y +1 =0​

Answer 1

Answer:

we will first break the equation in terms of x or y as per our choice

suppose if we break the equation in terms of x

then x= (-3y-1)/4

now let coordinates of center of circle be (x,y)

we knew that the distance between (2,-3) and center of circle is equal to the distance between (-4,5) and center of circle as both forms radii of circle according to question.

therefore by using mid point formula our coordinates of center of circle would be (-2,2). you can calculate it.

thereby put the value and get your answer