Transform to rectangular axes through the point inclined at an angle to the original axes.

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

Problem

Transform 12x2+7xy−12y2−17x−3y−7=012x^2 + 7xy - 12y^2 - 17x - 3y - 7 = 0 to rectangular axes through the point (1,−1)(1, -1) inclined at an angle tan⁡−1(43)\tan^{-1}\left(\frac{4}{3}\right) to the original axes.

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