If the points (a,0), (0,b) and (1,1) are collinear then which of the following is true? 1/a+1/b=1 1/a−1/b=2 1/a−1/b=−1 1/a+1/b=2

Rocco May

Rocco May

Answered question

2023-03-13

If the points (a,0), (0,b) and (1,1) are collinear then which of the following is true?
1a+1b=1
1a-1b=2
1a-1b=-1
1a+1b=2

Answer & Explanation

Deon Bowen

Deon Bowen

Beginner2023-03-14Added 4 answers

The area A of a triangle with vertices x1,y1,x2,y2 and x3,y3 calculate by the formula,
A = 1 2 1 x 1 y 1 1 x 2 y 2 1 x 3 y 3
A = 1 2 1 a 0 1 0 b 1 1 1
A=12a(b-1)+0(1-0)+1(0-b)
A=12ab-a-b
The area of the triangle with vertices a,0,0,b and (1,1) is zero as the given points (a,0), (0,b) and (1,1) are collinear.
i.e., A=0
12ab-a-b=0
ab-a-b=0
a+b=ab
a+bab=abab
1a+1b=1

Do you have a similar question?

Recalculate according to your conditions!

New Questions in Elementary geometry

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?