JEE Main 2015 (Offline) | Inverse Trigonometric Functions Question 51 | Mathematics

JEE Main 2015 (Offline)

MCQ (Single Correct Answer)

-1

Let $${\tan ^{ - 1}}y = {\tan ^{ - 1}}x + {\tan ^{ - 1}}\left( {{{2x} \over {1 - {x^2}}}} \right),$$
where $$\left| x \right| < {1 \over {\sqrt 3 }}.$$ Then a value of $$y$$ is:

$${{3x - {x^3}} \over {1 + 3{x^2}}}$$

$${{3x + {x^3}} \over {1 + 3{x^2}}}$$

$${{3x - {x^3}} \over {1 - 3{x^2}}}$$

$${{3x + {x^3}} \over {1 - 3{x^2}}}$$

JEE Main 2013 (Offline)

MCQ (Single Correct Answer)

-1

If $$x, y, z$$ are in A.P. and $${\tan ^{ - 1}}x,{\tan ^{ - 1}}y$$ and $${\tan ^{ - 1}}z$$ are also in A.P., then

$$x=y=z$$

$$2x=3y=6z$$

$$6x=3y=2z$$

$$6x=4y=3z$$

AIEEE 2008

MCQ (Single Correct Answer)

-1

The value of $$cot\left( {\cos e{c^{ - 1}}{5 \over 3} + {{\tan }^{ - 1}}{2 \over 3}} \right)$$ is

$${{6 \over 17}}$$

$${{3 \over 17}}$$

$${{4 \over 17}}$$

$${{5 \over 17}}$$

AIEEE 2007

MCQ (Single Correct Answer)

-1

If sin^-1$$\left( {{x \over 5}} \right)$$ + cosec^-1$$\left( {{5 \over 4}} \right)$$ = $${\pi \over 2}$$, then the value of x is

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