Let the normals at all the points on a given curve pass through a fixed point

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

Let the normals at all the points on a given curve pass through a fixed point (a,b)(a, b). If the curve passes through (3,−3)(3, -3) and (4,−22)(4, -2\sqrt{2}), and given that a−22b=3a-2\sqrt{2}b=3 then (a2+b2+ab)(a^2+b^2+ab) is equal to

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