Question

straight line passing througha fixed intersecting points?​

Answer 1

Step-by-step explanation:

Let slope of line be 'm'.

Equation of line with slope m and passing through (a,b) is

(y−b)=m(x−a)

Now, coordinate of point A=(a−b/m,0)

coordinate of point B =(0,b−ma)

Let, (h,k) be the centroid of △AOB.

h=

3

a−

m

b

=> m=

a−3h

b

k=

3

b−ma

Put m=

a−3h

b

=>3k=b−

a−3h

ab

=> ak+bh−3hk=0

Now, replace h with x and k with y.

=>bx+ay−3xy=0