If three points ( h,0 ) ,( a,b) and ( o,k) lie on a line,show that ` (a)/( h) +( b)/( k) =1 `

Three 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)) .

The points (1,0 ),(0,1),(0,0) and (2k,3k), k ne 0 are concyclic if k =

The points (1,0),(0,1),(0,0) and (2k,3k),k!=0 are concyclic if k =

If the points a+b,a-b and a+kb be collinear, then k is equal to

The line L given by (x)/(5)+(y)/(b)=1 passes through the point (13, 32). The line K is parallel to L and has the equation (x)/(c )+(y)/(3)=1 . Then the distance between L and K is :

A line passes through (x_(1), y_(1)) " and " (h, k) . If slope of the line is m, show that k - y_(1) = m (h - x_(1)) .

If k in R_o t h e n det{a d j(k I_n)} is equal to