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If a>0 and (a^2,2a) ,(1,-2) and (2,-1) never lie on a circle, then possible value of a is a) 1 b) 2 c) 3 d) 4

If a>0 and (a^2,2a) ,(1,-2) and (2,-1) never lie on a circle, then possible value of a is 
a) 1
b) 2
c) 3
d) 4

Grade:12th pass

2 Answers

Saurabh Koranglekar
askIITians Faculty 10341 Points
2 years ago
576-271_1.PNG
Deepak Kumar Shringi
askIITians Faculty 4405 Points
2 years ago
they should be collinear equation of line passing from (1,-2) and (2,-1) is
y+1=-1+2/2-1(x-2)
y+1=x-2
y=x-3 now if a^2,2a is also on the same line then
2a=a^2-3
a^2-2a-3=0
a=3

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