JEE Main 2019MathematicsDeterminantsMediumMCQ

JEE Main 2019 — Determinants Question with Solution

JEE Main 2019 (08 Apr Shift 2)

Question

Let the numbers 2, b, c be in an A.P. and A=1112bc4b2c2 . If det(A) ∈[2,16], then c lies in the interval:

Choose an option

Show full solutionCorrect option: B
Correct answer
B4,6

Step-by-step explanation

1112bc4b2c2→C2→C2-C1, C3→C3-C11002b-2c-24b2-4c2-4=b-2c-2c-b
Let common difference of AP=d
∴ b=2+d,   c=2+2d
A=d×2d×d=2d3∈2, 16
⇒d3∈1, 8⇒d∈1, 2⇒2d∈2, 4
⇒2+2d∈4, 6
∴ c∈4, 6

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About this question

This is a previous-year question from JEE Main 2019, covering the Determinants 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.