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Question

Lines are drawn parallel to the line 4x3y+2=0, at a distance 35 units from the origin. Then which of the following points lies on any of these lines ?

A
(14,13)
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B
(14,13)
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C
(14,23)
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D
(14,23)
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Solution

The correct option is D (14,23)
Equation of line parallel to the line
4x3y+2=0 is 4x3y+λ=0 ...(1)
Distance of line from the origin is
∣ ∣ ∣4(0)3(0)+λ42+(3)3∣ ∣ ∣=35
λ=±3
putting the value of λ in equation (1)
the required lines are 4x3y+3=0 and 4x3y3=0
Point (14,23) satisfies the line 4x3y+3=0

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