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Q13 of 51 Page 10

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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