Question
Download Solution PDFयदि x + y = 10 और xy = 12 है, तो x2 - xy + y2 का मान ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
यदि x + y = 10 और xy = 12
प्रयुक्त सूत्र:
(x + y)2 = x2 + 2xy + y2
गणनाएँ:
(x + y)2 = x2 + 2xy + y2
⇒ 102 = x2 + 2xy + y2
⇒ 100 = x2 + 2(12) + y2
⇒ 100 = x2 + 24 + y2
⇒ x2 + y2 = 100 - 24
⇒ x2 + y2 = 76
हमें x2 - xy + y2 ज्ञात करना है
⇒ x2 - xy + y2 = 76 - 12
⇒ x2 - xy + y2 = 64
∴ सही उत्तर विकल्प (3) है।
Last updated on Jun 3, 2025
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