If points `A(h,0),B(0,k)`and `C(a,b)`lie on a line then show that `a/h+b/k=1`

If the points P(h,k),Q(X_1,Y_1) and R(X_2,Y_2) lie on a line.Show that (h-x_1)(y_2-y_1)=(k-y_1)(x_2-x_1)

A line passes through points A(x_1,y_1) and B(h,k) .If the slope of the line is m then show that k-y_1=m(h-x_1)

If the points (k ,\ 2k),\ (3k ,\ 3k) and (3,\ 1) are collinear, then k (a) 1/3 (b) -1/3 (c) 2/3 (d) -2/3

Find the value of k, so that line joining the points A (3,k) and B(2,7) is parallel to line joining the points C(-1,4) and D(0,6).

If a/b=b/c and a,b,c>0 then show that, (a+b+c)(b-c)=ab-c^2

Find k, if B(k,-5),C(1,2) and slope of the line is 7.

If a/b=b/c and a,b,c>0 then show that, (a^2+b^2)/(ab)=(a+c)/b

Show that the points A(1,2),B(4,3),C(1,0) and D(-2,-1) are the vertices of a parallelogram.

If the line joining the points P(-2,1,-8) and Q(a,b,c) is in the direction of the vector 6i + 2j + 3k, then the respective values of a,b,c are

Show that the line joining the points A(4,8) and B(5,5) is parallel to the line joining the points C(2,4) and D(1,7).