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For the parabola y2 = 4x, find the coordinate of the point whose focal distance is 17 - Mathematics and Statistics

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प्रश्न

For the parabola y2 = 4x, find the coordinate of the point whose focal distance is 17

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उत्तर

Given parabola is y2 = 4x

Comparing with y2 = 4ax, we get,

4a = 4

∴ a = 1

Let P(x1, y1) be he required point on the parabola y2 = 4x, whose focal distance is 17.

∴ x1 + a = 17, where a = 1

∴ x1 + 1 = 17

x1 = 16

Since P(x1, y1) lies on y2 = 4x,

`y_1^2` = 4x1 

∴ `y_1^2` = 4(16) = 64

∴ y1 = ± 8

Hence, coordinates of required points on the parabola are (16, 8) and (16, – 8).

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 7: Conic Sections - Exercise 7.1 [पृष्ठ १४९]

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