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Given: The curve is parallel to line
at
To find: (I) Gradient, m at ,
(II) Tangent at is parallel to line
Solution:
on comparing the line with
, slope m = 50
-----(1) , since x= 3 given
⇒
, (since m=50)
from equation (1)
(I) at ,
(II)at
so slope at is equal to the slope of the line
,
hence tanget at x = -3 is parallel to the line y = 50x - 1,
hence proved.
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