Q.

Let the point P(α, β) be at a unit distance from each of the two lines L1:3x4y+12=0, and L2:8x+6y+11=0. If P lies below L1 and above L2, then 100(α+β) is equal to

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a

42

b

–22

c

14

d

–14

answer is D.

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Detailed Solution

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distance from (α, β) to the line 3x-4y+12=0 ,8x+6y+11=0 is 1 unit3α-4β+125=1,8α+6β+1110=1 3α-4β+7=0 and 8α+6β+1=0 α=-2325,β=5350100α+β=14

 

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Let the point P(α, β) be at a unit distance from each of the two lines L1:3x−4y+12=0, and L2:8x+6y+11=0. If P lies below L1 and above L2, then 100(α+β) is equal to