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Which among the following is a point on the line joining the points (4,3) and (7,9) ?

A(6,8)

B(1,-3)

C(-2,-1)

D(10,13)

Answer:

B. (1,-3)

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}

y3x4=9374\frac{y-3}{x-4}=\frac{9-3}{7-4}

y3x4=63\frac{y-3}{x-4}=\frac{6}{3}

(y3)=2(x4)(y-3)=2(x-4)

2x8=(y3)2x-8=(y-3)

2xy=52x-y=5

(x,y)=(1,3)(x,y)=(1,-3)


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