x – y = 5 சமன்பாட்டின் வரைபடம் P(α, β) இல் y-அச்சு மற்றும் x + y = 5 இன் வரைபடம் வெட்டுகிறது, Q(γ, δ) இல் உள்ள x-அச்சு α இன் மதிப்பு என்ன + β + γ + δ?

  1. 0
  2. 1
  3. 5
  4. 10

Answer (Detailed Solution Below)

Option 1 : 0
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Detailed Solution

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கொடுக்கப்பட்டது:

கொடுக்கப்பட்ட கோவைகள் x - y = 5 மற்றும் x + y = 5 ஆகும்

கணக்கீடு:

நம்மிடம் x - y = 5 ----(1)

மற்றும், x + y = 5 ----(2)

சமன்பாடு (1) y அச்சில் வெட்டுவதால், x = 0

எனவே, 0 - y = 5

⇒ y = -5

எனவே, பி(α, β) = (0, -5)

மேலும், சமன்பாடு (2) x அச்சில் வெட்டுகிறது, எனவே y = 0

எனவே, x + 0 = 5

⇒ x = 5

எனவே, Q(γ, δ) = (5, 0)

இப்போது, α + β + γ + δ = 0 + (-5) + 5 + 0

⇒ 0

∴ α + β + γ + δ இன் மதிப்பு 0 ஆகும்.

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