Question

If the equation $ax^{2} + 2hxy + by^{2} = 0$ represents two lines $y = m_{1}x$ and $y = m_{2}x$, then

• A. $m_{1} + m_{2} = \frac{- 2h}{b}$ and $m_{1}m_{2} = \frac{a}{b}$
• B. $m_{1} + m_{2} = \frac{2h}{b}$ and $m_{1}m_{2} = \frac{- a}{b}$
• C. $m_{1} + m_{2} = \frac{2h}{b}$ and $m_{1}m_{2} = \frac{a}{b}$
• D. $m_{1} + m_{2} = \frac{2h}{b}$ and $m_{1}m_{2} = - ab$

Answer 1

Answer: (A)

$m_{1} + m_{2} = \frac{- 2h}{b}$ and $m_{1}m_{2} = \frac{a}{b}$

Answer 2

It is a fundamental concept.