Question

The equation of the circle which touches the axes of the co-ordinates and the line x/3 +y/4 = 1 and whose centre lies in the first-quadrant is

x² + y² − 2cx − 2cy + c² = 0, where c is : 

(a) 1, 6 

(b) 4, 5 

(c) 3, 4 

(d) 2, 3

Answer 1

Correct option (a) 1, 6

Explanation:

The equation of the circle touching the co-ordinate axes is

Perpendicular distance between circle (c, c) and line is