14x + 8y + 5 = 0 మరియు 21x - ky - 7 = 0 అనే సమీకరణాలకు సాధన లేకపోతే, k యొక్క విలువ:

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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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⇒ సమీకరణాలు వాటి వాలు ఒకేలా ఉన్నప్పుడు వాటికి సాధన ఉండదు

⇒ సమీకరణం 1 యొక్క వాలు = - 14/8 = - 7/4

⇒ సమీకరణం 2 యొక్క వాలు = 21/k

⇒ కావున, 21/k = - 7/4

∴ k యొక్క విలువ - 12.
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