Question

9.
The points A(1, 2) B(-3, 4) C(7-1) are collinear. The ration in which A divides BC is


1)2:3
2)3:2
3)-2:3


4) -3:2
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Pg.No.: 1​

Answer 1

Answer:

Ratio :   2 : 3 internally.  Option  (1)

Step-by-step explanation:

Given the points in 2 d space :

A (1,2) ,   B(-3, 4)  and  C(7, -1)

Ratio of BA / AC  = 1 :  x    say.

Use the formula for a point A dividing a line segment BC in a given ratio.

   1  = (7 * 1 - 3 * x) / (1+x)

   1 (1+x) = 7 - 3 x

    4 x = 6

     x = 3/2

So the point A divides BC in ratio 1 : 3/2  or  2 : 3 internally.

Answer 2

Step-by-step explanation:

please find the attachment

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