Question

9. Find the angle through which the axes are to be rotated so as to remove the xy term in the equation
x2 + 4xy + y2 - 2x + 2y – 6 = 0​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Here,

a= 7 ; b =9 ; h = √ 3

Angle of rotation = ½tan -¹ (2h/a-b)

=½tan-¹(2√3/7-9)

=½tan-¹(-√3)

=½(2π/3)

=π/3

Thank you !