Properties of Triangle: JEE Main 2023 Mathematics question

JEE Main 2023 · 30 Jan, Morning shift · Q5030

JEE Main 202330 Jan, Morning shiftMathematicsMediumProperties of Triangle19× since 2002

A straight line cuts off the intercepts

\mathrm{OA}=\mathrm{a}

and

\mathrm{OB}=\mathrm{b}

on the positive directions of

x

-axis and

y

axis respectively. If the perpendicular from origin

O

to this line makes an angle of

\frac{\pi}{6}

with positive direction of

y

-axis and the area of

\triangle \mathrm{OAB}

\frac{98}{3} \sqrt{3}

, then

\mathrm{a}^{2}-\mathrm{b}^{2}

is equal to :

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JEE Main 2023 Properties of Triangle Question with Solution (30 Jan Morning shift, Q5030) | JEE Arc