Find the equation of the tangent to the hyperbola which is parallel to the line

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

Problem

Find the equation of the tangent to the hyperbola 4x2−9y2=14x^2 - 9y^2 = 1 which is parallel to the line 4y=5x+74y = 5x + 7. Also find the point of contact.

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