Question

If the line ax + y = c, touches both the curves x² + y² = 1 and  y²  = 4√2x , then |c| is equal to : 

(1)  1/√2

(2)   2

(3)  √2

(4)  1/2

Answer 1

Correct option (3)  √2

Explanation:

Tangent to the curve y² = 4√2x , is y = mx + √2/m

It is tangent to the circle  x² + y² = 1