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=2 a x and the lines x=b, y=0 is 16 unit², then Σ a S a is equal to:

Coordinate Geometry: JEE Main 2023 Mathematics question

JEE Main 2023 · 31 Jan, Evening shift · Q43

JEE Main 202331 Jan, Evening shiftMathematicsMediumCoordinate Geometry478× since 2002

Let

\mathrm{S}

be the set of all

\mathrm{a} \in \mathrm{N}

such that the area of the triangle formed by the tangent at the point

\mathrm{P}(\mathrm{b}

, c), b, c

\in \mathbb{N}

, on the parabola

y^{2}=2 \mathrm{a} x

and the lines

x=\mathrm{b}, y=0

16

unit², then

\sum\limits_{\mathrm{a} \in \mathrm{S}} \mathrm{a}

is equal to :

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