JEE Main 2019 Mathematics question
The sum of the squares of the lengths of the chords intercepted on the circle, , by the lines, x + y = n, n ∈ N, where N is the set of all natural numbers, is:
Answer: (C)
Solution
Chord length for n = 1,…,5: 2(31 + 28 + 23 + 16 + 7) = 210.