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find coordinate of point on parabola y2=18x whose ordinate is equal to three time its abscissa

Asked by www.shivamraghav65 23rd January 2019, 11:17 PM
Answered by Expert
Answer:
Let the point be A (a,b)
Where a is abscissa and b is the ordinate.
Thus,
b = 3a
The equation of given parabola is 
y2 =18x
substituting the ordinate in place of y and abscissa in place of x in the above equation,
(b)2=18a
(3a)2=18a
9a2=18a
9a=18
a=2
Therefore,
b = 3a = 3(2) =6
 
Hence the point can either have the cordinates (0,0) or (2,6)
Answered by Expert 24th January 2019, 1:47 AM
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