if the points (a, 0), (0, b) and (1, 1) are collinear then which of the following is true
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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
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
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