Question

若圆x方+y方=4与圆x方+y方+2ay-6=0（a>0）的公共弦的长为2倍根号3求a

Answer 1

x^2+y^2 = 4

x^2+y^2 +2ay -6 = 0

2ay = 2

y = 1/a

x = ±√ (4-1/a^2)

2√ (4-1/a^2) = 2√3

a = ±1