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The set of values of 'b' for which the origin and the point (1, 1) lie on the same side of the straight line,a belongs to R and b>0

The set of values of 'b' for which the origin and the point (1, 1) lie on the same side of the straight line,a belongs to R and b>0

Grade:12th pass

2 Answers

Arun
25750 Points
6 years ago
Dear Kunal
 
If you plug in the origin we get 1=0, which is not true but 1> 0, so we need to solve the inequality 
a^2x+aby+1> 0 
Now I want the point (1,1) to also work 
a^2+ab+1> 0 
Solving for b 
b>(-1-a^2)/a 
For b> 0 we require that a
 
Hence b belongs to (0, 2)
 
Regards
Arun (askIITians forum expert)
KUNAL PATEL
57 Points
6 years ago
Sir 
i am not able to get the answer after the inequality b>(-1-a^2)/a
so can you please explain me in detail.

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