if distance of P (x,y) from A(6,2) and B(-2,6) are equal prove that y=2x
Answers
Answered by
349
p(x,y) A(6,2) B(-2,6)
∵PA=PB
∴PA²=PB²
(x-6)²+(y-2)²=(x+2)²+(y-6)²
x²-12x+36+y²-4y+4=x²+4x+4+y²-12y+36
-12x-4y=4x-12y
12y-4y=4x+12x
8y=16x
y=2x
hence proved.......
hope it helps...............
∵PA=PB
∴PA²=PB²
(x-6)²+(y-2)²=(x+2)²+(y-6)²
x²-12x+36+y²-4y+4=x²+4x+4+y²-12y+36
-12x-4y=4x-12y
12y-4y=4x+12x
8y=16x
y=2x
hence proved.......
hope it helps...............
Answered by
53
Answer:
Step-by-step explanation:
Use distance formula to find it
Pls mark me as brainliest
Attachments:
Similar questions
Math,
7 months ago
Biology,
7 months ago
Environmental Sciences,
7 months ago
Hindi,
1 year ago
Hindi,
1 year ago