AP EAMCET · Maths · Pair of Lines
The equation \(4 x^2-24 x y+11 y^2=0\) represents
- A two parallel lines
- B two perpendicular lines
- C two lines through the origin
- D a circle
Answer & Solution
Correct Answer
(C) two lines through the origin
Step-by-step Solution
Detailed explanation
\(11y^2 - 24xy + 4x^2 = 0\) \(11y^2 - 22xy - 2xy + 4x^2 = 0\) \(11y(y - 2x) - 2x(y - 2x) = 0\) \((11y - 2x)(y - 2x) = 0\) The lines are \(11y = 2x\) and \(y = 2x\). These are two lines through the origin.
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