సమీకరణం యొక్క గ్రాఫ్ x – 7y = -42 అనేది P(α, β) వద్ద y-అక్షాన్ని ఖండిస్తుంది మరియు 6x + y – 15 = 0 యొక్క గ్రాఫ్, అనేది Q(γ, δ) వద్ద x-అక్షాన్ని ఖండిస్తుంది. అయితే  α + β + γ + δ విలువ కనుగొనండి?

This question was previously asked in
SSC CGL Tier 2 Quant Previous Paper 4 (Held On: 11 September 2019)
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  1. 6
  2. 17/2
  3. 9/2
  4. 5

Answer (Detailed Solution Below)

Option 2 : 17/2
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⇒ సమీకరణం x – 7y = (-42) అనేది y-అక్షాన్ని P(α, β) వద్ద ఖండిస్తే, అప్పుడు x = 0,

⇒ 0 – 7y = (-42)

⇒ y = 42/7 = 6

⇒ α = 0 మరియు β = 6

సమీకరణం 6x + y – 15 = 0 అయితే, Q(γ, δ) వద్ద x-అక్షాన్ని ఖండిస్తే, అప్పుడు y = 0.

⇒ 6x + 0 = 15

⇒ x = 15/6 = 5/2

⇒ γ = 5/2 మరియు δ = 0

ఇప్పుడు, (α + β + γ + δ)

⇒ 0 + 6 + 5/2 + 0

⇒ 17/2

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