Find the equation(s) of the parabola whose latus rectum is units

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

Problem

Find the equation(s) of the parabola whose latus rectum is 44 units, whose axis is 3x+4y−4=03x+4y-4=0, and whose tangent at the vertex is 4x−3y+7=04x-3y+7=0.

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