Question

IfΒ the tangent to the curve at is parallel to the line , find and .

Easy
Solution
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Given: Β  Β ........(i)
Tangent to the curve=
Tangent to the curve at point Β 
Now,Β Β 
Β 
Comparing it with , where slope, we get
Therefore, slope of the above line is .
Given tangent is parallel to the line .
Thus slope will be equal.
Therefore,
Substituting in eqn (i) we get

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