Q. 133.7( 3 Votes )
If three points(h, 0), (a, b) and (0, k) lie on a line, show that = 1.
Points A(h,0), B(a, b) and C(0, k) are collinear.
For AB, m1 = =
For BC, m2 = =
For collinearity of three points,
m1 = m2
or -ab = (a – h)(k – b)
or -ab = (ak – hk – ab + hb)
0 = ak – hk + hb
or ak + hb = hk
or = 1
or = 1
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