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Q.

$Ρ (α, β)$ lies on the line y=6x-1 and Q( $β, α$ ) lies on the line 2x-5y=5. Then the equation of the line $\overset{\leftrightarrow}{P Q}$ is

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a

2x+y=3

b

3x+2y=5

c

x+y=6

d

3x+y=7

answer is C.

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Detailed Solution

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By solving $β = 6 α - 1$ and $2 β - 5 α = 5$ we get P(1,5) , Q(5,1)

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Ρ(α,β) lies on the line y=6x-1 and Q(β,α) lies on the line 2x-5y=5. Then the equation of the line PQ↔ is