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Inverse Trigonometric Functions question

2021 · 26 Aug · Shift 2 · Q30
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Inverse Trigonometric Functions question

2021 · 26 Aug · Shift 2 · Q30

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1
If ∑r=150tan⁡−112r2=p\sum\limits_{r = 1}^{50} {{{\tan }^{ - 1}}{1 \over {2{r^2}}} = p}r=1∑50​tan−12r21​=p, then the value of tan p is :
  1. A
    101102{{101} \over {102}}102101​
  2. B
    5051{{50} \over {51}}5150​
  3. C
    100
  4. D
    5150{{51} \over {50}}5051​
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