First slide

Pair of straight lines

Question

If the lines represented by the equation $6 x^{2} + 41 x y - 7 y^{2} = 0$ makes an angles $α$ and $β$ with X-axis then $7 \tan α \tan β$ is

Moderate

A

-6
B

6
C

4
D

-4

Solution

$\tan α \tan β = m_{1} m_{2} = \frac{a}{b} = \frac{6}{- 7}$

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