Question
From a point on the line y = x + c, c (parameter), tangents are drawn to the hyperbola such that chords of contact pass through a fixed point (x_{1}, y_{1}). Then is equal to

2

3

4

None of these
easy
Solution
2
Let the point be
Chord of contact of hyperbola T = 0
Since this passes through point (x_{1}, y_{1})
∴ x_{1} = 2y_{1} and y_{1}c + 1 = 0
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