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Question 83

Let $$S$$ be the set of all $$a \in N$$ such that the area of the triangle formed by the tangent at the point $$P(b, c)$$, $$b, c \in N$$, on the parabola $$y^2 = 2ax$$ and the lines $$x = b$$, $$y = 0$$ is 16 unit$$^2$$, then $$\sum_{a \in S} a$$ is equal to

Correct Answer: 4

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