Use Coupon: CART20 and get 20% off on all online Study Material

Total Price: Rs.

There are no items in this cart.
Continue Shopping
Grade: 12
the ellipse with its focus  and centre and passing through point given how to find equation of ellipse
10 months ago

Answers : (1)

Aditya Gupta
2016 Points
hello jadhav. this is an excellent ques tbh. lets say one of the given focus is (r, s) and centre is (c, d). then we can find the coordinates of the second focus by using the fact that the centre of an ellipse lies in the centre (or mid point) of both the foci. so assume that coordinates of the second focus are (p, q). then by section formula, we can write
(r+p)/2= c and (s+q)/2= d..........from these we obtain p and q.
now, by the definition of ellipse, for every point (x, y) the sum of its distances from two other points (the foci) is constant.
so that √[(x – r)^2+(y – s)^2] + √[(x – p)^2+(y – q)^2]= K (a const)
now, we are also given a point (say m, n) on the ellipse.. so substitute that value in above eqn.
we get √[(m – r)^2+(n – s)^2] + [(m– p)^2+(n – q)^2]= K so that we obtain the value of K. so the eqn becomes
√[(x – r)^2+(y – s)^2] + √[(x – p)^2+(y – q)^2]= √[(m – r)^2+(n – s)^2] + [(m– p)^2+(n – q)^2]
now if you wish you can be simplify this eqn by getting rid of the square roots.
kindly approve ;)
10 months ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies

Course Features

  • 731 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution

Course Features

  • 53 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions

Ask Experts

Have any Question? Ask Experts

Post Question

Answer ‘n’ Earn
Attractive Gift
To Win!!! Click Here for details