Question

Find the foci of the ellipse
25x^(2)+16y^(2)-50x-96y-231=0
a) (1,7) and (1,-1)
b) (1,6) and (1,0)
c) (3,3) and (-1,3)
d) (-2,3) and (4,3)

Answer 1

(0.3) and (0,-3)

Answer 2

thats not an answer

Answer 3

c)

Answer 4

b

Answer 5

why c and why b?

Answer 6

its a vertical ellipse so x-coordinate of focii will be same

Answer 7

so its b)

Answer 8

why not a? both x-intercepts are 1

Answer 9

ya for that you have to do the math

Answer 10

my bad, saubhik is right.

Answer 11

factorize, to (x-1)^2/16 +(y-3)^2/25 =1

Answer 12

and then you know how to find focus with transformation of coordinates