Question

If points (a, 0), (0, b) and (1, 1) are collinear, then the value of 1/a+1/b is (a) 1. (b) 2. (c) 5. (d) 9​

Answer 1

Answer:

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Explanation:

correct option is 1

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