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If the roots of the equation (b−c)x2+(c−a)x+(a−b)=0 be equal then a, b, c are in
  • a)
    A.P.
  • b)
    G.P.
  • c)
    H.P.
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If the roots of the equation (b−c)x2+(c−a)x+(a−b)=0 ...
Given equation (b−c)x2+(c−a)x+(a−b)=0
Putting x= 1, we get
(b−c)+(c−a )+(a−b)=0
So x=1 is a root but both roots are equal so both roots are  1,1
Now sum of roots  1+1= 

⇒2b=a+c
⇒a, b, c 
⇒ a,b,c are in A.P.
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If the roots of the equation (b−c)x2+(c−a)x+(a−b)=0 be equal then a, b, c are ina)A.P.b)G.P.c)H.P.d)None of theseCorrect answer is option 'A'. Can you explain this answer?
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If the roots of the equation (b−c)x2+(c−a)x+(a−b)=0 be equal then a, b, c are ina)A.P.b)G.P.c)H.P.d)None of theseCorrect answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If the roots of the equation (b−c)x2+(c−a)x+(a−b)=0 be equal then a, b, c are ina)A.P.b)G.P.c)H.P.d)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the roots of the equation (b−c)x2+(c−a)x+(a−b)=0 be equal then a, b, c are ina)A.P.b)G.P.c)H.P.d)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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