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The foot of the perpendicular drawn from the origin, on the line, 3x + y = λ (λ ≠ 0) is P.

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The foot of the perpendicular drawn from the origin, on the line, 3x + y = λ (λ ≠ 0) is P. If the line meets x-axis at A and y-axis at B, then the ratio BP : PA is 

(A) 1 : 3 

(B) 3 : 1 

(C) 1 : 9 

(D) 9 : 1

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Answer is (D) 9 : 1

Given: 3x + y = λ 

From the given data, we plot the graph as shown in the following figure:

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