If the points (a, 0), (0, b) and (1, 1) are collinear, then 1/a + 1/b =
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Given that three points are collinear, (a,o),(o,b) and (1,1)
Since the points are collinear, area of triangle formed by these points is equal to O.
2
1
[x
1
(y
2
−y
3
)+x
2
(y
3
−y
1
)+x
3
(y
1
−y
2
)]=0
2
1
[a[b−1]+0[1−0]+1(0−b)]=0
⇒ab−a−b=0
⇒a+b=ab
∴
a
1
+
b
1
=1
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Answered by
14
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