First slide

Pair of straight lines

Question

If the sum of the slopes of the lines given by $3 x^{2} - 2 c x y - 5 y^{2} = 0$ is twice their product, then the value of $c$ is

Moderate

A

2
B

3
C

6
D

none of these

Solution

$\frac{m_{1} + m_{2}}{m_{1} m_{2}} = 2 \Rightarrow \frac{2 c}{3} = 2 \Rightarrow c = 3$ .

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