JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

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

are in arithmetic progression and

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

are also in arithmetic progression, then

\left| {x - 2y} \right|

is equal to

View answer and explanation

Correct option: C

Option C (0) is correct because using the arithmetic progression property and trigonometric identities, the expression |x - 2y| simplifies to 0.

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