Math, asked by srendrasuri55555, 6 months ago

Find the equation of the locus of a point, the difference of whose distance from (-5,0) and
(5, 0) is 8.​

Answers

Answered by shraddha3677
2

Answer:

Let the point be (x,y),

 By using distance formula for coordinates,

[(x+5)2+(y−0)2]21−[(x−5)2+(y−0)2]21=8

⇒[x2+10x+25+y2]21=[x2−10x+25+y2]21+8

 squaring on both sides,

⇒x2+10x+25+y2=x2−10x+25+y2+64+16[x2−10x+25+y2]21

⇒5x−16=4[x2−10x+25+y2]21

Again squaring  both sides,

⇒25x

Step-by-step explanation:

hope this helps mark me as brilliant

Similar questions