बिंदु P (2, -1, 3) और Q (-5, 2, 1) के बीच की दूरी ज्ञात कीजिए?

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  1. \(3\sqrt {7} \)
  2. \(7\sqrt {13} \)
  3. 8
  4. \(\sqrt {62} \)

Answer (Detailed Solution Below)

Option 4 : \(\sqrt {62} \)
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दिया गया:

बिंदु 1 = (2, -1, 3)

बिंदु 2 = (-5, 2, 1)

सूत्र:

निर्देशांक (x1, y1, z1) और (x2, y, z2) वाले दो बिंदुओं के बीच की दूरी निम्न द्वारा दी गई है:

\(d = \sqrt{[(x_1 - x_2)^2 + (y_1 - y_2)^2 + (z_1 - z_2)^2]}\)

हल:

d = √[(2 - (-5))2 + ((-1) - 2)2 + (3 - 1)2]

= √(49 + 9 + 4)

= 62 इकाइयां

नोट: आधिकारिक पेपर में दिए गए विकल्प गलत थे। हमने विकल्प को सही कर दिया है।

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