JEE Main 2018 — Mathematical Reasoning Question with Solution
From: JEE Main 2018 (Online) 15th April Evening Slot
Question
Consider the following two statements :
Statement p :
The value of sin 120o can be derived by taking in the equation
2sin
Statement q :
The angles A, B, C and D of any quadrilateral ABCD satisfy the equation
cos
Then the truth values of p and q are respectively :
Statement p :
The value of sin 120o can be derived by taking in the equation
2sin
Statement q :
The angles A, B, C and D of any quadrilateral ABCD satisfy the equation
cos
Then the truth values of p and q are respectively :
Choose an option
Show full solutionCorrect option: A
Correct answer
AF, T
Step-by-step explanation
Statement p :
sin 120o = cos 30o = 2 sin 120o =
So,
Statement q :
So, A + B + C + D = 2
cos
= cos cos
Therefore, statement p is false and statement q is true.
sin 120o = cos 30o = 2 sin 120o =
So,
Statement q :
So, A + B + C + D = 2
cos
= cos cos
Therefore, statement p is false and statement q is true.
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This is a previous-year question from JEE Main 2018, covering the Mathematical Reasoning 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.