1.

If the points (a,0),(0,b) and (1,1) are collinear then​

Answer»

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
​
=


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