Question

Prove that the points(a,0),(0,b) and(1,1) are collinear if 1/a+1/b=1

Answer 1

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Step-by-step explanation:

Use area of triangle form by these three points is equal to zero

area of t triangle=1/2 {a (b-1)+0+1 (0-b)}

0=ab-a-b

a+b=ab

divide both side by ab

a/ab+b/ab=ab/ab

1/b+1/a=1

hence

1/a+1/b=1