Math, asked by tokiram1200, 1 month ago

find the angle through which the axes b rotated so that the expression ax²+2hxy+ by² may become of the form AX²+BY²​

Answers

Answered by StrangeStinkle
6

Answer:

To remove the xy-term from the equation ax^2 + 2hxy + by^2 = 0, the axes are to be rotated through the angle. To remove the xy-term from the equation ax2 + 2hxy + by2 = 0, the axes are to be rotated through the angle (1/2) Tan-1 [2h/(a - b)] when a ≠ b and through the angle π/4 when a = b

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