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Find a point on the curve at which the tangent is parallel to the chord joining the points and .

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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 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 TypeText solution:1
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