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Question: Answered & Verified by Expert
Let A=-2x1x1123-1. If the roots of the equation detA=0 are l,m, then l3-m3=
MathematicsDeterminantsAP EAMCETAP EAMCET 2022 (04 Jul Shift 2)
Options:
  • A 35
  • B -35
  • C 19
  • D -19
Solution:
1351 Upvotes Verified Answer
The correct answer is: 19

Given:

A=-2x1x1123-1

Also,

detA=0

-2x1x1123-1=0

-2-1-3-x-x-2+3x-2=0

x2+5x+6=0

x+2x+3=0

x=-2, -3

So, l3-m3=-23--33=-8+27=19

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