The ellminant of $\theta$ from $xcos\theta - y sin\theta$ = 2 and $x sin\theta + y cos\theta$ = 4 will give
The ellminant of $\theta$ from $xcos\theta - y sin\theta$ = 2 and $x sin\theta + y cos\theta$ = 4 will give
1). $x^{2} + y^{2}$ = 20
2). $3x^{2} + y^{2$ = 20
3). $x^{2} - y^{2}$ = 20
4). $3x^{2} - y^{2}$ = 10
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option 1 is the right one
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x cos $\theta$ – y sin $\theta$ = 2
x sin $\theta$ + y cos $\theta$ = 4
On squaring both the equations and adding
x2cos2 $\theta$+ y2 sin2 $\theta$ – 2 xy sin $\theta$ .cos $\theta$ + x2sin2$\theta$ + y2 cos2 $\theta$ +2xy sin $\theta$ . cos $\theta$ = 4 + 16
=> x2 (cos2 $\theta$ + sin2 $\theta$ ) + y2 (sin2 $\theta$ + cos2 $\theta$ ) = 20
=> x2 + y2 = 20 .
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