Question

If the two circles (x - 1)² + (y - 3)² = r² and x² + y² - 8x + 2y + 8 = 0 intersect in two distinct points, the

(a) 2 < r < 8

(b) r < 2

(c) r = 2

(d) r > 2

Answer 1

Correct Option (a) 2 < r < 8

Explanation:

r - 3 < 5 and 5 < r + 3

r < 8 and 2 < r

2 < r < 8