The equation \(\displaystyle{x}^{{2}}-{y}^{{2}}={a}^{{2}}\) changes to the form

Roy Roth

Roy Roth

Answered question

2022-04-03

The equation x2y2=a2 changes to the form xy=c2 if the co-ordinate axes rotates through an angle (keeping origin fixed)
a) π2
b) π2
c) π4
d) π3

Answer & Explanation

Karsyn Wu

Karsyn Wu

Beginner2022-04-04Added 17 answers

If we put x=X+Y2
and y=XY2
then x2y2=a2=2XY
or XY=(a2)2=c2
But cos(π4)=12
the right answer is c).

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