Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
If the determinant of the matrix A=0ab-a0β-bα0 is zero for all a, b then α+β=
MathematicsDeterminantsTS EAMCETTS EAMCET 2019 (03 May Shift 2)
Options:
  • A 0
  • B 1
  • C -1
  • D 2
Solution:
2843 Upvotes Verified Answer
The correct answer is: 0

0ab-a0βbα0=0

The determinant of the above matrix will be

0(0-αβ)-a(0+bβ)+b(-aα-0)

-abβ-abα=0

-ab(α+β)=0

α+β=0

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.