JEE Main 2016 — Sets And Relations Question with Solution
From: JEE Main 2016 (Online) 10th April Morning Slot
Question
Let P = { : sin cos = }
and Q = { : sin + cos = } be two sets. Then
and Q = { : sin + cos = } be two sets. Then
Choose an option
Show full solutionCorrect option: D
Correct answer
DP = Q
Step-by-step explanation
Given,
sin cos = cos
sin = cos
sin = cos
sin = cos . . . (1)
This is for set P.
sin + cos = sin
cos = sin . . . .(2)
This is from set Q.
So, P = Q
sin cos = cos
sin = cos
sin = cos
sin = cos . . . (1)
This is for set P.
sin + cos = sin
cos = sin . . . .(2)
This is from set Q.
So, P = Q
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This is a previous-year question from JEE Main 2016, covering the Sets And Relations 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.