a + b = 7 এবং ab = 12 হলে (1/a2) + (1/b2) এর মান কত?

a + b = 7 এবং ab = 12 হলে (1/a²) + (1/b²) এর মান কত?

A 3/25

B 25/144

C 31/144

D 11/49

Solution

Correct Answer: Option B

a + b = 7...............(1)
ab = 12..................(2)

এখন
(1/a²) + (1/b²)
= (b² + a²)/a²b²
= {(a + b)² - 2ab}/(ab)²
= {7² - 2 × 12}/(12)²
= (49 - 24)/144
= 25/144

Solution

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