Question
Find a point on the curve at which the tangent is parallel to the chord joining the points and .
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Text solutionVerified
If a tangent is parallel to the chord joining the points and , then,
The slope of the tangent the slope of the chord.
The slope of the tangent the slope of the chord.
The slope of the chord is .
Now, the slope of the tangent to the given curve at a point is given by,
Since the slope of the tangent slope of the chord, we have:
When
Hence, the required point is
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Question Text | Find a point on the curve at which the tangent is parallel to the chord joining the points and . |
Answer Type | Text solution:1 |
Upvotes | 150 |