यदि p = 106, q = 105 और r = 104 है, तो p2 + q2 + r2 - pq - qr - rp का मान क्या है?

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Answer (Detailed Solution Below)

Option 4 : 3
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दिया गया है:

p = 106

q = 105

r = 104

प्रयुक्त सूत्र:

p2 + q2 + r2 - pq - qr - rp

गणना:

p2 + q2 + r2 - pq - qr - rp = 1062 + 1052 + 1042 - 106x105 - 105x104 - 104x106

⇒ 1062 = 11236

⇒ 1052 = 11025

⇒ 1042 = 10816

⇒ 106 × 105 = 11130

⇒ 105 × 104 = 10920

⇒ 104 × 106 = 11024

⇒ 11236 + 11025 + 10816 - 11130 - 10920 - 11024

⇒ 33077 - 33074

⇒ 3

∴ सही उत्तर विकल्प 4 है।

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