The set of values of 'c' so that the equations and have no solution is

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

The set of values of 'c' so that the equations

y = |x| + c

and

x^2 + y^2 - 8|x| - 9 = 0

have no solution is (1)

(-\infty, -3) \cup (3, \infty)

(2)

(-3, 3)

(3)

(-\infty, -5\sqrt{2}) \cup (5\sqrt{2}, \infty)

(4)

(5\sqrt{2} - 4, \infty)