If the pair of lines $2 x^2+3 x y+y^2=0$ makes angles $\theta_1$ and $\theta_2$ with the positive direction…

If the pair of lines $2 x^2+3 x y+y^2=0$ makes angles $\theta_1$ and $\theta_2$ with the positive direction of the X-axis, then $\left|\tan \left(\theta_1-\theta_2\right)\right|=$
  1. $1$
  2. $\frac{1}{3}$
  3. $\frac{1}{2}$
  4. $\frac{1}{4}$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2017 (25 Apr Shift 1)

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