Question
Download Solution PDFयदि p = 106, q = 105 और r = 104 है, तो p2 + q2 + r2 - pq - qr - rp का मान क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया:
p = 106, q = 105 and r = 104
प्रयुक्त सूत्र:
p2 + q2 + r2 - pq - qr - rp = 1/2 [(p - q)2 + (q - r)2 + (r - p)2]
गणना:
p2 + q2 + r2 - pq - qr - rp
⇒ 1/2 [(p - q)2 + (q - r)2 + (r - p)2]
⇒ 1/2 [(106 - 105)2 + (105 - 104)2 + (104 - 106)2]
⇒ 1/2 [(1)2 + (1)2 + (-2)2]
⇒ 1/2 [1 + 1 + 4]
⇒ 1/2 × 6
⇒ 3
∴ सही उत्तर विकल्प 4 है।
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