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Expansion of (a ± b ± c)²

The number of...

Question

The number of integral values of $a$ for which $(a^{2} - 3 a + 2) x^{2} + (a^{2} - 5 a + 6) x + a^{2} - 4 = 0$ is an identity in $x$ is

0

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2

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1

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3

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Solution

The correct option is B $1$
If this given equation is identity than $a^{2} - 3 a + 2 = 0$ , $a = 2, 1$
$a^{2} - 5 a + 6 = 0$ , $a = 3, 2$
$a^{2} - 4 = 0$ , $a = 2, - 2$
So, common value of $a = 2$
Hence, option 'C' is correct.

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