Q.7: The point on x-axis which divides the line segment joining (2, 3) and (6, – 9) in the ratio 1 : 3 is

(A) (4, – 3)

(B) (6, 0)

(C) (3, 0)

(D) (0, 3)

Answer:
(C) (3, 0)

Let solid is (x, 0)

x=(mx_{2}+nx_{1}) / (m+n)

x= ( 1(6) + 3(2) )/ (1+3)

x= 12/4

x=3

so point is (3,0)

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