Question
Find points on the curve at which the tangents are (i) parallel to x-axis (ii) parallel to y-axis.
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Text solutionVerified
Solution: Equation of the curve is,
(i) When tangents are parallel to x-axis,
Differentiating (1) w.r.t. ,
As,
When .
So, required point in this case are and .
(ii) When tangents are parallel to y-axis,
Differentiating (1) w.r.t. ,
As,
When .
So, required point in this case are and .
(i) When tangents are parallel to x-axis,
Differentiating (1) w.r.t. ,
As,
When .
So, required point in this case are and .
(ii) When tangents are parallel to y-axis,
Differentiating (1) w.r.t. ,
As,
When .
So, required point in this case are and .
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Question Text | Find points on the curve at which the tangents are (i) parallel to x-axis (ii) parallel to y-axis. |
Answer Type | Text solution:1 |
Upvotes | 150 |