AP EAMCET · Maths · Pair of Lines
If two of the lines represented by \(2 x^3+x^2 y+y^3=0\) are mutually perpendicular, then the slope of the third line is
- A \(2\)
- B \(1\)
- C \(0\)
- D \(\frac{1}{2}\)
Answer & Solution
Correct Answer
(A) \(2\)
Step-by-step Solution
Detailed explanation
\(2 + \frac{y}{x} + (\frac{y}{x})^3 = 0\) \(m^3 + m + 2 = 0\) \(m_1 m_2 m_3 = -2\) \(m_1 m_2 = -1\) \((-1) m_3 = -2\) \(m_3 = 2\)
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