The equation becomes

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

The equation 4xy−3x2=a24xy-3x^2=a^2 becomes, when the axes are turned through an angle tan⁡−1(2)\tan^{-1}(2), (1) x2+4y2=a2x^2+4y^2=a^2 (2) x2−4y2=a2x^2-4y^2=a^2 (3) 4x2+y2=a24x^2+y^2=a^2 (4) 4x2−y2=a24x^2-y^2=a^2

Related theory

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