# The sum of the squares of the lengths of the chords intercepted

Question:

The sum of the squares of the lengths of the chords intercepted on the circle, $x^{2}+y^{2}=16$, by the lines, $x+y=n, n \in N$, where $N$ is the set of all natural numbers, is:

1. 320

2. 160

3. 105

4. 210

Correct Option: , 4

Solution: