Question

7. find the equation of the locus of a Point P
Such that PA^2+P
B^2=2c^2 where n-(a,0),
B= (-2, 0) and O<la/</C/​

Answer 1

Answer:

Let P = (x, y) given condition is PA2 + PB2 = 2c2 => (x – a)2 + (y – 0)2 + (x + a)2 + (y – 0)2 = 2c2 => x2 + a2 – 2xa + y2 + x2 + a2 + 2xa + y2 = 2c2 => 2x2 + 2y2 + 2a2 = 2c2 => x2 + y2 = c2 – a2. => The locus of P is x2 + y2 = c2 – a2.Read more on Sarthaks.com - https://www.sarthaks.com/440843/find-the-locus-of-the-point-p-such-that-pa-2-pb-2-2c-2-where-a-a-0-b-a-0