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Question

If the points (a,0)(0,b) and (1,1) are col linear ,show that

1a+1b=1

A
3
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B
1
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C
14
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D
7
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Solution

The correct option is A 1
(a,0)(0,b)(1,1)=12[a(b1)+0(10)+1(0b)]=12[abab]=0abab=0a+b=ab
Dividing both sides by ab
aab+bab=ababaab+bab=11b+1a=1

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