CBSE Class 12-science Answered
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 | 16 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 | 18 Nov, 2012, 07:57: PM
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