Find the equation of the circle passing ...

Find the equation of the circle passing through the points (4,1) and (6,5) and whose centre lies on the line 4x+ y = 16.

Verified by Experts

`(##XI_11_E01_10_##)`
Given points, `(4,1),(6,5)`
equation of circle `(x-h)^2+(y-k)^2=r^2`
=>`(4-h)^2+(1-k)^2=r^2`.....(1)
...

CONIC SECTIONS
NCERT ENGLISH|Exercise MISCELLANEOUS EXERCISE|9 Videos
COMPLEX NUMBERS AND QUADRATIC EQUATIONS
NCERT ENGLISH|Exercise All Questions|75 Videos
INTRODUCTION TO THREE DIMENSIONAL GEOMETRY
NCERT ENGLISH|Exercise EXERCISE 12.1|4 Videos

Similar Questions

Explore conceptually related problems

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

Find the equation of circle passing through the points (0,5) and (6,1) and whose centre lies on the line 2x+5y=25.

Find the equation of circle passing through the point (2,3) and (-1,1) and whose centre is on the line x - 3y - 11 = 0

Find the equaiton of the circle passing through the points (2, -3) and (3, -2) and whose centre lies on the line 2x-3y=8 .

Find the equation of the circle which passes through the points (5,0) and (1,4) and whose centre lies on the line x + y - 3 = 0.

Find the equation of a circle passing through the points (-1,5) and (-7,5) and its centre lies on the line 3x+4y+8=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 (2,""""-2) , and (3,4) and whose centre lies on the line x+y=2 .

Find the equation of the circle passing through the point (7,3) having radius 3 units and whose centre lies on the line y=x-1

Find the equation of the circle passing through the point: (1,2) , (3,-4) and (5,-6) .