Question

25. If the points (a,0), (0, b) and (1, 1) are collinear, then 1/a+1/b=​

Answer 1

Answer:

1

Step-by-step explanation:

Given that three points are collinear, (a,o),(o,b) and (1,1)

Since the points are collinear, the area of the triangle formed by these points is equal to O.

$\frac{1}{2}$  [a[b−1]+0[1−0]+1(0−b)]=0

⇒ab−a−b=0

⇒a+b=ab

∴  $\frac{1}{a} +\frac{1}{b} = 1$