Question:
The point (a,-1) is extension to both parabolas y^2=4|x|,then find the set of all possible real values of 'a'
Answer:
Given, equation of parabola is: y2 = 4|x|
Again, the point (a, -1) is extended to both parabolas y2 = 4|x|
So, (-1)2 = 4|a|
=> 1 = 4|a|
=> 1/4 = |a|
=> a = ±1/4
So, the value of a is ±1/4
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