रेखा x = -4 पर बिंदु (-1, 3) का परावर्तन क्या है?

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SSC CGL Previous Paper 3 (Held On: 6 August 2017 Shift 1)
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  1. (-7, -3)
  2. (-7, 3)
  3. (7, -3)
  4. (7, 3)

Answer (Detailed Solution Below)

Option 2 : (-7, 3)
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माना कि परावर्तित बिंदु (x, y) है।

तब मध्य बिंदु (-1, 3) और (x, y) है जो (x-1/2, y + 3/2) है, अवश्य रेखा x = -4 मिलती है।

⇒ x – 1/2 = -4

⇒ x = -8 + 1 = -7

चूंकि मूल और परावर्तित बिंदु को जोड़ने वाली रेखा x = -4 पर है, इसलिए इसकी ढलान 0 होगी।

⇒ [y – 3]/[(-7) – (-1)] = 0

⇒ y – 3 = 0

⇒ y = 3

∴ परावर्तित बिंदु (-7, 3) है।
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