Home › TS EAPCET (Engineering) › Mathematics › Locus (mathematics) › Rotating axes through 45 degrees changes xy = 1 …
Rotating axes through 45 degrees changes xy = 1 into
Ax'^2 - y'^2 = 2
Bx'^2 - y'^2 = 1
Cx'^2 + y'^2 = 2
Dx'^2 - y'^2 = 4
Answer & Solution
Correct answer: A. x'^2 - y'^2 = 2
Using x = (x'-y')/sqrt2 and y = (x'+y')/sqrt2, xy = (x'^2 - y'^2)/2 = 1.
Related questions
The foci of the ellipse 9x^2+25y^2+18x-100y-116=0 areIf axes shift h to the right and k up, a fixed point appears movedIf axes are rotated counterclockwise, a fixed point appears rotatedA second-degree equation in x, y, z that is not a cylinder, plane, line or point gives aIn three dimensions the origin moves to (h, k, l). Old z equalsWhen axes are translated, the slope of a given lineWhich expression keeps its value when axes are rotated about the origin?The axes are rotated through any angle. The circle x^2 + y^2 = 9 becomes