Pair of Straight Lines

Mathematics

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Qn #1954
If $y=mx$ bisects the angle between the lines $x^2(\tan^2\theta+\cos^2\theta)+2xy\tan\theta-y^2\sin\theta=0$ when $\theta=\dfrac{\pi}{3}$, then the value of $\sqrt{3}m^2+4m$ is
Qn #1257
If x2 + 3xy + 2y2 – x – 4y – 6 = 0 represents a pair of straight lines, their point of intersection is
Qn #1165
The slope of two-lines $6x^2-xy-2y^2=0$ differ by
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