Question : If $(x-2)(x-p) = x^2-ax+6$, then the value of $(a - p)$ is:
Option 1: 0
Option 2: 1
Option 3: 2
Option 4: 3
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Answer (1)
26th Jan, 2024
Correct Answer: 2
Solution :
Given: $(x-2)(x-p) = x^2-ax+6$
⇒ $x^2-px-2x+2p=x^2-ax+6$
⇒ $x^2-(p+2)x+2p=x^2-ax+6$
By comparing both sides of the equation,
$p+2=a$
⇒ $a-p=2$
Hence, the correct answer is 2.
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