Question

if the points (a, c) , (0, b) , and(1/2, 1/2) are collinear then show that , 1/a+1/b =2​

Answer 1

Answer:

you can solve by this method

Step-by-step explanation:

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