The equation of the circle which passes ...

The equation of the circle which passes through the points `(2,3) and (4,5) ` and the centre lies on the straight line `y-4x + 3=0,` is

A

`x^(2) +y^(2) + 4x- 10y+ 25= 0`

B

`x^(2) + y^(2)- 4x- 10y+ 25= 0`

C

`x^(2) +y^(2)- 4x- 10y+ 16= 0`

D

`x^(2) +y^(2)- 14y+ 8= 0`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

Find the equation of the circle which passes through the points (2,3)(4,2) and the centre lies on the straight line y-4x+3=0

Find the equation of the circle which passes through the points (-1,2) and (3,-2) and whose centre lies on the line x-2y=0

Find the equation of the circle which passes through the points (3,-2) and (-2,0) and the center lies on the line 2x-y=3

Find the equation of the circle which passes through the points quad (2,-2) and (3,4) and whose centre lies on the line x+y=2

The equation of the circle which passes through the point A(0, 5) and B(6, 1) and whose centre lies on the line 12x+5y=25 is

Find the equation of the circle which passes through the points (1,-2),(4,-3) and whose center lies on the line 3x+4y=7

Find the equation of the circle which passes through the points (1,-2) and (4,-3) and which has its centre on the straight line 3x+4y=5.

Find the equation of the circle passing through the points (0, -1) and (2, 0) and whose centre lies on the line 3x+y=5