Question : If $4x^2-12x+k$ is a perfect square, then the value of $k$ is:
Option 1: 2
Option 2: 9
Option 3: 12
Option 4: 10
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Answer (1)
27th Jan, 2024
Correct Answer: 9
Solution :
Given: $4x^2-12x+k$ is a perfect square.
$4x^2-12x+k=(2x)^2-2×2x×3+k$
Since this a perfect,
So, $(2x)^2-2×2x×3+k=(2x)^2-2×2x×3+3^2=(2x–3)^2$
Value of $k$ is 3
2
= 9
Hence, the correct answer is 9.
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