If $\vec{OA}=\sqrt{3}\overset{^}{ı}+\overset{^}{ȷ},\vec{OB}=\overset{^}{ı}+\sqrt{3}\overset{^}{ȷ}$. If the distance of the point $a\overset{^}{ı}+(1-a)\overset{^}{ȷ}$ from the angle bisector of $\vec{OA}$ and $\vec{OB}$ is $\frac{9}{\sqrt{2}}$ the find $a.$

Question

YESPYQ · Accepted Answer

Correct answer: d) 5. Equation of anlge bisector will be $x-y=0\ \left|\frac{a-(1-a)}{\sqrt{2}}\right|=\frac{9}{\sqrt{2}}\ 2a-1=\pm 9\ a=5,-4$

If \(\vec{OA}=\sqrt{3}\overset{^}{ı}+\overset{^}{ȷ},\vec{OB}=\overset{^}{ı}+\sqrt{3}\overset{^}{ȷ}\). If the distance of…

Practice more JEE Maths PYQs