Lines are drawn parallel to the line 4x−3y+2=0, at a distance 35 from the origin. Then which one of the following points lies on any of these lines?
A
(−14,23)
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B
(14,13)
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C
(−14,−23)
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D
(14,−13)
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Solution
The correct option is A(−14,23) Required line is 4x−3y+λ=0 ∣∣∣λ5∣∣∣=35⇒λ=±3 So required equation of line is 4x−3y+3=0 and 4x−3y−3=0 (1)4(−14)−3(23)+3=0