CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

The value(s) of 'p' for which the parabola represented by quadratic function y=(p2)x2+8x+(p+4) will remain below X-axis for all real values of x is .
  1. p(,6)(4,)
  2. p  (, 6)
  3. p  (4, )
  4. p(6,4)


Solution

The correct option is B p  (, 6)
For a parabola to remain below X-axis, it means the parabola will be downward facing and will not intersect/touch X-axis.
a<op2<0p<2   ...(i) and D<0(8)24(p2)(p+4)<016p24p+2p+8<0p22p+24<0p2+2p24>0(p+6)(p4)>0   ...(ii)From (i) and (ii), we getp<6

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
View More


People also searched for
View More



footer-image