Binomial Theorem


Find the equation of the parabola whose vertex is at (0, 0) and the focus is at point S (5, 0).


The vertex of the parabola is at O (0, 0) and focus is at S (5, 0).
rightwards double arrow                y = 0 for both points
rightwards double arrow                The axis of the parabola is along y = 0 or x-axis.
∴                   The parabola is of the standard form straight y squared equals 4 ax                       ...(i)
Now, the focus is at (a, 0) left right arrow (5, 0) rightwards double arrow a = 5
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