The foot of the perpendicular on the line 3x+y=λ drawn from the origin is C. If the line cuts the x-and the y-axis at A and B, respectively, then BC:CA is

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1:3

3:1

1:9

9:1

answer is D.

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Detailed Solution

tan1800−θ= slope of AB=-3tanθ=3∴OCAC=tanθ,OCBC=cotθor ACBC=tanθcotθ=tan2θ=9

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