JEE Main 2016 — Sequences And Series Question with Solution
From: JEE Main 2016 (Online) 10th April Morning Slot
Question
If A > 0, B > 0 and A + B = ,
then the minimum value of tanA + tanB is :
then the minimum value of tanA + tanB is :
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
Given,
A + B =
tan(A + B) = tan =
We know,
tan(A + B) =
=
where y = tan A + tan B
tanA tanB = 1 y
Also AM GM
y 2
y2 4 4
y2 + 4 4 0
y 2 4
or y 2 + 4
(y 2 4 is not possible as tan B > 0)
A + B =
tan(A + B) = tan =
We know,
tan(A + B) =
=
where y = tan A + tan B
tanA tanB = 1 y
Also AM GM
y 2
y2 4 4
y2 + 4 4 0
y 2 4
or y 2 + 4
(y 2 4 is not possible as tan B > 0)
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This is a previous-year question from JEE Main 2016, covering the Sequences And Series chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.