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in Mathematics by (53.1k points)

The ratio in which the line 3x - y + 6 = 0 divides the line joining the points A(3, 4) and B( 2, 1) is 

(A)  2:11

(B)  9:2

(C)  11:1

(D)  1 : 12

1 Answer

+1 vote
by (53.3k points)
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Best answer

Correct option  (C)  11 : 1

Explanation :

L ≡ 3x - y + 6 = 0, A = (3,4),B = (-2,1)

L11 = 3(3) - 4 + 6 = 11, L22 = 3(-2) -1 + 6 = -1

 Hence, the ratio AP : PB is

-L11: L22 = (-11) : (-1) = 11 : 1

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