First slide

Pair of straight lines

Question

If the pair of lines $2 x^{2} + 3 x y + y^{2} = 0$ makes angles $θ_{1}$ and $θ_{2}$ with X-axis then $\tan (θ_{1} - θ_{2}) =$

Moderate

A

1
B

$\frac{1}{2}$
C

$\frac{1}{3}$
D

$\frac{1}{4}$

Solution

$a = 2, 2 h = 3, b = 1$
$\tan (θ_{1} - θ_{2}) = \tan θ = \frac{2 \sqrt{h^{2} - a b}}{| b |}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App