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=2 a x and the lines {\x}= {\b}, {\y}=0 is 16 unit ^2, then \sum_{ {\a} \in {\S}} {\a} is equal to __________. [31-Jan-2023 Shift 2]

Parabola Part 1

Section: Mathematics

Question : 1 of 100

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Let S be the set of all a∈N such that the area of the triangle formed by the tangent at the point P(b,c),b,c∈N, on the parabola y2=2ax and the lines x=b,y=0 is 16 unit ‌2, then

∑

a∈S

a is equal to __________.

[31-Jan-2023 Shift 2]

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