यदि समीकरणों 14x + 8y + 5 = 0 और 21x - ky - 7 = 0 का कोई हल नहीं है, तब k का मान क्या है:

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RRC Group D Previous Paper 5 (Held On: 23 Sep 2018 Shift 1)
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  1. 12
  2. -12
  3. 8
  4. -16

Answer (Detailed Solution Below)

Option 2 : -12
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⇒ समीकरणों का कोई हल नहीं होता जब उनकी ढलान समान होती है

⇒ समीकरण 1 की ढलान = - 14/8 = - 7/4

⇒ समीकरण 2 की ढलान = 21/k

⇒ अतः 21/k = - 7/4

∴ k का मान - 12 है।
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