Home
Class 11
MATHS
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 is on the line `4x+y=16`.

Text Solution

Verified by Experts

The correct Answer is:
`x^(2)+y^(2)-6x-8y+15=0`
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    NCERT TAMIL|Exercise Exercise 11.2|12 Videos
  • CONIC SECTIONS

    NCERT TAMIL|Exercise Exercise 11.3|20 Videos
  • CONIC SECTIONS

    NCERT TAMIL|Exercise Miscellaneous Exercise|8 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT TAMIL|Exercise MISCELLANEOUS EXERCISES ON CHAPTER 24|1 Videos
  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    NCERT TAMIL|Exercise EXERCISE 9.6 (Choose the correct or the most suitable answer from the given four alternatives)|25 Videos

Similar Questions

Explore conceptually related problems

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

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

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

Find the equation of a circle which passes through the points (1,-2) and (4,-3) and whose centre lies on the line 3x+4y=0

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 vector equation for the line passing through the points (-1,0,2) and (3,4,6).

Find the equation of the line passing through the point (-2, 3) with slope - 4.

Find the equation of the lines passing through the point (1,1) with y-intercept (-4)

Find the equations of the circles passing through the point (-4,3) and touching the lines x+y=2 and x-y=2