If tan ((π)/9),x, tan ((7π)/18) are in arithmetic progression and tan ((π)/9),y, tan ((5π)/18) are also in arithmetic progression, then |x - 2y| is equal to:

Trigonometry: JEE Main 2021 Mathematics question

JEE Main 2021 · 27 Jul, Evening shift · Q5637

JEE Main 202127 Jul, Evening shiftMathematicsMediumTrigonometry118× since 2002

\tan \left( {{\pi \over 9}} \right),x,\tan \left( {{{7\pi } \over {18}}} \right)

are in arithmetic progression and

\tan \left( {{\pi \over 9}} \right),y,\tan \left( {{{5\pi } \over {18}}} \right)

are also in arithmetic progression, then

|x - 2y|

is equal to :

JEE Main 2021 Trigonometry Question with Solution (27 Jul Evening shift, Q5637) | JEE Arc

JEE Main 2021 · 27 Jul, Evening shift · Q5637

JEE Main 202127 Jul, Evening shiftMathematicsMediumTrigonometry118× since 2002

\tan \left( {{\pi \over 9}} \right),x,\tan \left( {{{7\pi } \over {18}}} \right)

are in arithmetic progression and

\tan \left( {{\pi \over 9}} \right),y,\tan \left( {{{5\pi } \over {18}}} \right)

are also in arithmetic progression, then

|x - 2y|

is equal to :