Question

If the axes be turned through an angle 45°, what would the
equation x2 - y2 = 25 become ?​

Answer 1

Answer:

Step-by-step explanation:

Let (x, y) and (X, Y) be the old and the new coordinates, respectively. Therefore x = X cos (-45°) - Y sin(-45°) = X +Y/√2 and y = X sin(-45°) + Y cos(-45°) = -X + Y/√2 hen we deal with hyperbola (conic section), we see that x2 -y2 = a2  the standard equation of rectangular hyperbola and xy  = c2 is the rectangular hyperbola in the simplest