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
\(11\left(\frac{y}{x}\right)^2 - 24\left(\frac{y}{x}\right) + 4 = 0\) \(\frac{y}{x} = \frac{24 \pm \sqrt{(-24)^2 - 4(11)(4)}}{2(11)}\) \(\frac{y}{x} = \frac{24 \pm \sqrt{576 - 176}}{22}\) \(\frac{y}{x} = \frac{24 \pm \sqrt{400}}{22}\) \(\frac{y}{x} = \frac{24 \pm 20}{22}\)…
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