Data Sufficiency

Please help me with the equation for the 2nd statement. By the way OA is C

ashish2104 wrote:


Please help me with the equation for the 2nd statement. By the way OA is C

using stmt1, we can get y = (0,4) or (0,-4)
Hence distance is not same.
INSUFF

let point E be(x,y)
distance from A = sqrt((x+3)^2 + (y-4)^2)
twice = 2*sqrt((x+3)^2 + (y-4)^2)

Distance from C(0,-2) to (x,y)
= sqrt(x^2+(y+2)^2)


Now, 2*sqrt((x+3)^2 + (y-4)^2) = sqrt(x^2+(y+2)^2)
Still we cant get the exact values of x,y
INSUFF

Combining:
4 *((x+3)^2 + (y-4)^2) =(x^2+(y+2)^2)
When E = (0,4)
4*(3^2)=6^2
Correct.
When E= (0,-4)
4*(9+64) = 4
Not correct.

Hence E = (0,4)

SUFF

pick C

Hope this helps!!