Question

find the equation of the circle with at (2,1) which passes through the point (3,6)​

Answer 1

Answer:

5x-y = 9

Explanation :

Let A(x1,y1) = (2,1)

B(x2, y2) = (3,6)

Now ,

Equation of a line passing through A and B is ,

y-y1 = [(y2-y1)/(x2-x1)](x-x1)

=> (y-1)=[(6-1)/(3-2)](x-2)

=> y-1=5(x-2)

=> y-1 = 5x - 10

=> 10-1 = 5x - y

=> 9 = 5x - y

=> 5x - y = 9

Therefore,

Required equation,

5x-y = 9

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