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यदि समीकरण (lamda^(2)-5lamda+6)x^(2)+(l...

यदि समीकरण `(lamda^(2)-5lamda+6)x^(2)+(lamda^(2)-3lamda+2)x+(lamda^(2)-4)=0;` `x`, के दो से अधिक मानो के लिए संतुष्ट होता है, तब `lamda=`

A

`2`

B

`-2`

C

`2` & `3`

D

`3`

Text Solution

Verified by Experts

The correct Answer is:
A
If an equation of degree to is satisfied by more than two values of unknown, then it must be an identity. Then, we must have
`lamda^(2)-5lamda+6=0,lamda^(2)-3lamda+2=0lamda^(2)-4=0`
`implieslamda=2,3` and `lamda=2,1` and `lamda=2,-2`
Common value of `lamda` which satisfies each condition is `lamda=2`.
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ARIHANT MATHS-THEORY OF EQUATIONS-Exercise (Questions Asked In Previous 13 Years Exam)
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