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For a real number a, if the system 
of linear equations, has infinitely many solutions, then 1 + α + α2 =
  • a)
    11
  • b)
    1
  • c)
    2
  • d)
    7
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
For a real number a, if the systemof linear equations, has infinitely ...
To find the determinant value we get the answer 1 plus Alfa plus Alfa -1 is equal to zero then answer is 1
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Community Answer
For a real number a, if the systemof linear equations, has infinitely ...
On solving the determinant of matrix containing 'a' terms by equating it with 0, we will get,[( a^2)-1=0], which means a^2=1 and a=1 or a=-1. If you take a=1, then answer will be 3, otherwise if you take a=-1, answer will be 1. As 3 is not in the options,so the answer is 1

Note:- For infinitely many solution, ∆=0, where ∆ is the determinant of coefficients of variables of given system of linear equations. Here, in this case,∆ is the determinant of first matrix containing the 'a' terms..
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For a real number a, if the systemof linear equations, has infinitely many solutions, then 1 + α + α2 =a)11b)1c)2d)7Correct answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about For a real number a, if the systemof linear equations, has infinitely many solutions, then 1 + α + α2 =a)11b)1c)2d)7Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a real number a, if the systemof linear equations, has infinitely many solutions, then 1 + α + α2 =a)11b)1c)2d)7Correct answer is option 'B'. Can you explain this answer?.
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