A) Straight line
B) Circle
C) Ellipse
D) Figure of eight
Correct Answer: A
Solution :
If \[{{y}_{1}}={{a}_{1}}\sin \omega \,t\] and \[{{y}_{2}}={{a}_{2}}\sin (\omega \,t+\pi )\] Þ \[\frac{{{y}_{1}}}{{{a}_{1}}}+\frac{{{y}_{2}}}{{{a}_{2}}}=0\]Þ \[{{y}_{2}}=-\frac{{{a}_{2}}}{{{a}_{1}}}{{y}_{1}}\] This is the equation of straight line.
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