Question

The radius of a circle is √10. x + y = 4 is the line intersecting the circle at P & Q. A chord MN is of length 2 m having slope –1. Find perpendicular distance between the two chords PQ and MN. 

(1) 2 

(2) 3 

(3) 4 

(4) 5

Answer 1

Correct option is (2) 3 

Radius of circle \(=\sqrt {10}\)

In ∆MPO,

Since, distance is positive, distance between chord is 3.