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:

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