Question

the points A (1, 2)B( - 3, 4 )C( 7,1) are collinear the ratio in which A divides BC is​

Answer 1

αղsաҽɾ

A will divide BC in 2:3

sօlմԵíօղ

We are given with 3 collinear points that are :

A(1,2) ; B ( -3,4) and C( 7,1 )

so their sequence according to their position in quadrant will

BAC.

 íղԵҽɾղαl ժíѵísօղ բօɾตմlα.

A(x) = x1m2 + x2m1/m1 + m2.

x1 = -3 ; x2 = 7 ; x = 1.

Let m1 = k ; m2 = 1

Applying formula

1 = -3(1)+7k / k+1

k+1. = -3 + 7k

1 + 3 = 7k - k

4. = 6k

4/6. = k/1

2: 3. = k : 1

So the ratio will be 2:3