If ax²+2bxy+bx²+2x+2y+c=0 represents a circle, then the true statement among the following is

1. a+b+c > 6
2. a+b+c > 4
3. a+b+c 3
4. a+b+c > 5

pls answer with a reason............

& pls answer fastly.................

Dear Student,
The two lines given are r = (6i + 2j + 2k) + t(i – 2j + 2k) and r = (- 4i – k) + s(3i – 2j – 2k).
For two lines x = a + tb and y = c + sd, the shortest distance between them are 
d = | bxd/|bxd| . (c – a) | = |(8i + 8j + 4k).(-10i – 2i – 3k)/12| = |(- 80 – 16 – 12)/12| = 108/12 = 9.