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Which of the following points lie on the line joining the points (2,1) and (4,-1) ?

A(3,0)

B(2,2)

C(1,2)

D(1,1)

Answer:

C. (1,2)

Read Explanation:

Eqn of the line by

yy1xx1=y2y1x2x1\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}

i.e, y1x2=22\frac{y-1}{x-2}=\frac{-2}{2}

2y2=2x+42y-2=-2x+4

2x+2y=62x+2y=6

x+y=3x+y=3

1+2=31+2=3


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