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Let the point P of the focal chord PQ of the parabola y 2 = 16x be (1, – 4). If the focus of the parabola divides the chord PQ in the ratio m : n, gcd(m, n) = 1, then m 2 + n 2 is equal to :

1. 17
2. 26
3. 10
4. 37

Correct answer: 17

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