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Question

If (a,a2) falls inside the triangle made by the lines y=x2,x>0 and y=3x,x>0, then a belongs to the interval

A
(0,12)
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B
(3,)
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C
(12,3)
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D
(3,12)
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Solution

The correct option is C (12,3)
Clearly, the sides of the triangle are on the opposite sides of the point (a,a2).

Substituting the points in the equation we get:

a2a2 and 3aa2 must have opposite sign

(a2a2)(3aa2)<0

a2(12a)(3a)<0

(2a1)(a3)<0

12<a<3

a(12,3)

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