If the three points (3q, 0), (0, 3p) and (1, 1) are collinear then which one is true ?
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Secondary SchoolMath 8 points
If the points (a,0),(0,b) and (1,1) are collinear ,show that (1/a)+(1/b)=1
Ask for details Follow Report by Hemaashannpremriti 30.01.2017
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abhi178
abhi178
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
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anurag42010
anurag42010 Virtuoso
Hi I hope my answer will help you.
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