रेखा x2 - 7x + 12 = 0 और y2 - 13y + 42 = 0 द्वारा निर्मित वर्ग में अंकित वृत्त का केंद्र क्या है?

  1. (3.5, 6.5)
  2. (3, 6)
  3. (2, 5)
  4. (4, 7)

Answer (Detailed Solution Below)

Option 1 : (3.5, 6.5)
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संकल्पना:

किसी वर्ग में अंकित वृत्त का केंद्र वर्ग के केंद्र के समान है। 

गणना:

वर्ग का निर्माण करने वाली दी गयी रेखाएं निम्न हैं:

x2 - 7x + 12 = 0

⇒ (x - 4)(x - 3) = 0

⇒ x = 4 और x = 3

और, y2 - 13y + 42 = 0

⇒ (y - 7)(y - 6) = 0

⇒ y = 7 और y = 6

केंद्र के निर्देशांक भुजाओं के मध्य-बिंदु होंगे: (3.5, 6.5)

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