A) One
B) Two
C) Three
D) Infinity
Correct Answer: A
Solution :
Line \[y=\sqrt{3}\] and graph \[=y=\tan x\] Now, we have \[\sqrt{3}=\tan x\] \[\Rightarrow \,\,\tan x=\tan 60{}^\circ \] \[\Rightarrow \,\,x=60{}^\circ \] \[\left[ \because x\in \left( 0,\frac{\pi }{2} \right) \right]\] Hence, one intersecting point is possible in the given domain i.e., \[k=1\].
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