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The value of 'a' for which \left ( a^{2}-1 \right )x^{2}+\left ( a^{2}-3a+2 \right )x+\left ( a^{2}-4a+3 \right )= 0 becomes a quadratic identity equals 

  • Option 1)

    -1

  • Option 2)

    0

  • Option 3)

    1

  • Option 4)

    2

 

Answers (1)

best_answer

for identity : a^{2}-1=0, \, a^{2}-3a+2=0,\, a^{2}-4a+3=0

Simultaneously.

Which is possible when a=1

\therefore Option (C)

 

Quadratic Equation become an Identity -

Satisfied by more than two values of x

\Leftrightarrow a=b=c=0

 

-

 

 


Option 1)

-1

This is incorrect

Option 2)

0

This is incorrect

Option 3)

1

This is correct

Option 4)

2

This is incorrect

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Aadil

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