Suppose the axes X and Y are obtained by rotating the axes x and y by an angle θ. If the equation x^2+2\sqrt3xy-y^2=4a^2 is transformed to \X^2-\Y^2=2\a^2 with respect to the XY- axes, then θ is equal to

TS EAMCET 14-Sep-2020 Shift 1 Solved Paper

Section: Mathematics

Question : 43 of 160

Marks: +1, -0

Suppose the axes X and Y are obtained by rotating the axes x and y by an angle θ. If the equation x2+2√3xy−y2=4a2 is transformed to X2−Y2=2a2 with respect to the XY- axes, then θ is equal to

45°
60°
90°
30°

Validate

Go to Question:

Prev Question

Next Question