The graph of 2x = 5 - 3y cuts the x-axis at the point P (α, β) . The value of (2α + β) is:

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RRB ALP Electronics Mechanic 21 Jan 2019 Official Paper (Shift 1)
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  1. 3
  2. 5
  3. 2
  4. 8

Answer (Detailed Solution Below)

Option 2 : 5
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Detailed Solution

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Given,

The given equation is 2x = 5 – 3y

Concept:/Formula:

If equation cuts the x-axis, then y = 0

Calculation:

⇒ 2x = 5 – 3y

If equation cuts the x-axis at P (α, β), then y = 0

⇒ 2x = 5 – 0

⇒ x = 5/2

⇒ α = 5/2 and β = 0

Now,

⇒ (2 α + β)

⇒ (2 × 5/2 + 0)

⇒ 5

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