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Question
Answer the following:
Find the co-ordinates of a point of the parabola y2 = 8x having focal distance 10
Solution
Given equation of the parabola is y2 = 8x
Comparing this equation with y2 = 4ax, we get
4a = 8
∴ a = 2
Focal distance of a point = x + a
Given, focal distance = 10
∴ x + 2 = 10
∴ x = 8
Substituting x = 8 in y2 = 8x, we get
y2 = 8(8)
∴ y = ± 8
∴ The co-ordinates of the points on the parabola are (8, 8) and (8, –8).
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