The value of  for which both the roots of the equation  are less than 2, lies in
a)		b)		c)		d)

(d)

Let

Clearly,  represents a parabola opening upward.

So, roots of the equation  will be less than 2, if

(i) Discriminant

(ii) 2 lies outside the roots i.e.

(iii) -coordinate of vertex

Now,

or,                          …(i)

(ii) Discriminant

     …(ii)

(iii) -coordinate of vertex

From (i),(ii) and (iii), we have

 i.e.,