If 16y² - k = (4y + 3/2)(4y - 3/2) , then the value of k is:

If $16y^2 - k = \left(4y + \frac{3}{2}\right)\left(4y - \frac{3}{2}\right)$ , then the value of k is:

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Correct answer: A

Explanation

The correct answer is Option 1 i.e. $\frac{9}{4}$ .

$16y^2 - k = \left(4y + \frac{3}{2}\right)\left(4y - \frac{3}{2}\right)$

⇒ 16y² - k = 16y² - 9/4

⇒ k = 9/4

SSC CPO 2022 PYQ — Question 112