A) Two parallel lines
B) Two perpendicular lines
C) Two lines through the origin
D) A circle
Correct Answer: C
Solution :
Given equation is \[4{{x}^{2}}-24xy+11{{y}^{2}}=0\] \[4{{x}^{2}}-22xy-2xy+11{{y}^{2}}=0\] \[2x(x-11y)-2y(x-11y)=0\] Þ \[(2x-2y)\,(x-11y)=0\] \[2x-2y=0\] or \[x-11y=0\], \ \[y=x\] or \[y=\frac{x}{11}\] Since, both the lines-passing through the origin.
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