9-x^2 < mod of x-a, then this has atleast one negative solution.then find the possible value of a?

Asked by Ranbir Singh | 16th Sep, 2012, 08:26: PM

Expert Answer:

9-x^2 is the equation of downward parabola with vertex at (0,9).

9-x^2 < mod of x-a, then this has atleast one negative solution only if |x-a| will neither touch nor intersect the parabola in other words will always lie above parabola.

The equation of tangent to parabola will be in slope form

X=m(9-y)+1/4m

Considering for x>0 line y=-x+a is same line

Comparing these two lines m=1 and a=37/4

So 9-x^2 < mod of x-a, then this has atleast one negative solution only if |a|>37/4

Answered by  | 18th Nov, 2012, 07:57: PM

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