Question

if (a,a^2) falls inside the angle made by the lines y=x/2,x>0 and y=3x,x>0 then ' a ' belongs to the range of?​

Answer 1

Answer:

Since, the given point (a,a

2

) lies inside the angle between two lines.

Then, a

2

−

2

a

>0 and a

2

−3a<0

⇒a(a−

2

1

)>0 and a(a−3)<0

⇒a>0 and a>

2

1

or a<0 and a<

2

1

and a<0,a>3 or a>0,a<3

⇒a>

2

1

or a<0 and 0<a<3

⇒a∈(−∞,0)∪(

2

1

,∞) and a∈(0,3)

⇒a∈(

2

1

,3)