Question

When the axes are rotated through an
angle 45° the transformed equation of a curve is 17×2-16xy+17y2=235​

Answer 1

Angle of rotation θ = 45° x = x cos θ + y sin θ = 2cos 45° + ysin45° y = –x sinθ + ycosθ = – xsin45° + ycos45° The original equation of 17x2 – 16xy + 17y2 = 225 is ⇒ 17x2 + 34xy + 17y2 – 16y2 + 16x2 + 17x2 – 34xy + 17y2 = 450  ⇒ 50x2 + 18y2 = 450 ⇒ 25x2 + 9y2 = 225/532882/when-the-axes-are-rotated-through-angle-45-the-transformed-equation-curve-17x-16xy-17y-225

Step-by-step explanation:

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