Question 31753
x^2+y^2=63...........(1)
x^2-3y^2=27 .........(2)
Subtracting (2) from (1) gives
4y^2 = 36
=> y^2 = 9
=> y=3 or y=-3
Using equation(1), If y=3 or -3, x^2 = 63-y^2 = 63-9 = 54
=> x=sqrt(54)or x=-sqrt(54)
=> x=3sqrt(6) or x=-3sqrt(6)
Correct option for the answer is b