যদি a + b = √7 হয় এবং b = a - √3 হয় তবে ab এর মান কত?

A √21

B 2

C 1

D 2√10

Solution

Correct Answer: Option C

b = a - √3
a - b =√3
∴ ab = {(a + b) / 2}2 - {(a - b) / 2}2
= {(√7)/2}2 - {(√3)/2}2
= 7/4 - 3/4
= 4/4
= 1

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