First slide

Pair of straight lines

Question

If the lines represented by $a x^{2} + 2 h x y + b y^{2} + 2 g x + 2 f y + c = 0$ are written in the form $y = m_{1} x + c_{1}$ and $y = m_{2} x + c_{2}$ , then

Moderate

A

$m_{1} + m_{2} = a / b, m_{1} m_{2} = 2 h / b$
B

$m_{1} + m_{2} = - 2 h / b, m_{1} m_{2} = a / b$
C

$m_{1} + m_{2} = - 2 h / b, m_{1} m_{2} = - b / a$
D

$m_{1} + m_{2} = 2 h / b, m_{1} m_{2} = a / b$

Solution

$m_{1} + m_{2} = - 2 h / b, m_{1} m_{2} = a / b$

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