Search any question & find its solution
Question:
Answered & Verified by Expert
The joint equation of two lines through the origin each making an angle of $30^{\circ}$ with the $\mathrm{Y}$ - axis is
Options:
Solution:
1295 Upvotes
Verified Answer
The correct answer is:
$x^{2}-y^{2}=0$
$\therefore$ Slope of lines are $=m_{1}=\tan 60^{\circ}=\sqrt{3}$ and $\mathrm{m}_{2}=\tan 120^{\circ}=\tan \left(90^{\circ}+30^{\circ}\right)=-\sqrt{3}$
Their equations are $y=\sqrt{3} x$ and $y=-\sqrt{3} x$ i.e. $\sqrt{3} x-y=0$ and $\sqrt{3} x+y=0$
Joint equation is $(\sqrt{3} x-y)(\sqrt{3} x+y)=0 \Rightarrow 3 x^{2}-y^{2}=0$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.