(x - p)/(p2 - q2) = (x - q)/(q2 - p2) হলে x এর মান কত?

(x - p)/(p² - q²) = (x - q)/(q² - p²) হলে x এর মান কত?

A (p + q)

B (p + q)/4

C (p - q)/2

D (p + q)/2

Solution

Correct Answer: Option D

(x - p)/(p² - q²) = (x - q)/(q² - p²)
⇒ (x - p)/(p²- q²) = (x - q)/ - (p² - q²)
⇒ (x - p)/(p² - q²) = - (x - q)/(p² - q²)
⇒ x - p = - (x - q)
⇒ x - p = - x + q
⇒ x + x = p + q
⇒ 2x = p + q
⇒ x = (p + q)/2

Solution

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