Q.

The set of values of ‘b’ for which the origin and the point (1,1) lie on the same side of the straight line a2x+aby+1=0,  ∀a∈R, b>0 are

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a

b∈(2,4)

b

b∈(0,2)

c

b∈[0,2]

d

b∈[0,3]

answer is B.

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Detailed Solution

D<0⇒b2−4<0⇒−2 0∴0
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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 a2x+aby+1=0,  ∀a∈R, b>0 are