JEE MAIN - Mathematics Hindi (2017 - 9th April Morning Slot - No. 16)

k का मान जिसके लिए समारोह

$$f\left( x \right) = \left\{ {\matrix{ {{{\left( {{4 \over 5}} \right)}^{{{\tan \,4x} \over {\tan \,5x}}}}\,\,,} & {0 < x < {\pi \over 2}} \cr {k + {2 \over 5}\,\,\,,} & {x = {\pi \over 2}} \cr } } \right.$$

x = $${\pi \over 2},$$ में निरंतर है :
$${{17} \over {20}}$$
$${{2} \over {5}}$$
$${{3} \over {5}}$$
$$-$$ $${{2} \over {5}}$$

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