The expression (11.98 × 11.98 + 11.98 × Q + 0.02 × 0.02) will be a perfect square for Q =

A 0.02

B 0.2

C 0.04

D 0.4

E None

Solution

Correct Answer: Option C

আমরা জানি, (a² + 2ab + b²) = (a + b)²
এখন, 11.98 × 11.98 + 11.98 × Q + 0.02 × 0.02
= (11.98)² + 11.98 × Q + (0.02)²

∴ Perfect square হওয়ার জন্য,

11.98 × Q = 2 × 11.98 × 0.02

=> Q = 0.04

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