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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a
1:3
b
3:1
c
1:9
d
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
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