சமன்பாட்டின் வரைபடம் x – 7y = -42 P(α, β) இல் y-அச்சையும், 6x + y – 15 = 0 இன் வரைபடம், Q(γ, δ) இல் x-அச்சினை வெட்டுகிறது. α + β + γ + δ இன் மதிப்பு?

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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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⇒ சமன்பாடு x – 7y = (-42) P(α, β) இல் y- அச்சை ஒன்றையொன்று வெட்டினால் x = 0,

⇒ 0 – 7y = (-42)

⇒ y = 42/7 = 6

⇒ α = 0 மற்றும் β = 6

சமன்பாடு 6x + y – 15 = 0 என்றால், Q(γ, δ) இல் x-அச்சு ஒன்றையொன்று வெட்டினால் , y = 0.

⇒ 6x + 0 = 15

⇒ x = 15/6 = 5/2

⇒ γ = 5/2 மற்றும் δ = 0

இப்போது, ​​(α + β + γ + δ)

⇒ 0 + 6 + 5/2 + 0

⇒ 17/2

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