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CBSE Class 11-science Answered

construction of Parabola When Distance between directrix and focus is given
Asked by praveenaditya843 | 22 Dec, 2023, 10:41: AM
answered-by-expert Expert Answer

If distance between focus and directrix is 2a , then equation of parabola is  y2 = 4 a x

Hence for a given x-coordinate , y-coordinate of points on parabola are img

For various value of x , we calculte the y-coordinate , mark these points (x,y)  on x-y plot , then join these points by smooth curve.

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For example , let given distance between focus and directrix is 2 .

Hence , 2a = 2  and   a = 1 .

Hence the parabola is y2 = 4x

Following tables gives the x and y coordinates of different points on parabola

  x y
O 0 0
A 1 +2.0
A' 1 -2.0
B 2 +2.8
B' 2 -2.8
C 3 +3.5
C' 3 -3.5
D 4 +4.0
D' 4 -4.0

Above points are plotted on x-y plot given below and joined by smooth curve to get the parabola y2 = 4x

Answered by Thiyagarajan K | 22 Dec, 2023, 04:14: PM
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