1.

If the three points (a, 0), (0, b) and (2, 2) are collinear, then show that 1/a + 1/b = 1/2

Answer»

By hypothesis

1/2|a(b - 2) + 0(2 - 0) + 2 (0 - b)| = 0

⇒ ab -2a - 2b = 0

⇒ 2a + 2b = ab

1/a + 1/b = 1/2



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