Find coordinates of point from which two tangents are drawn to a given curve.

Question

It's a question from the chapter Application of derivatives. All I can understand is that the point will not lie on the curve and the triangle formed will be an equilateral triangle since area for it is maximum for same perimeter.I can't really understand how to proceed after this.

Did you not try drawing a figure? It becomes self evident that the area will increase as $|h|$ becomes larger and larger — Amadeus, Sep 03 '20 at 18:07

score 1 · Answer 1 · answered Sep 03 '20 at 17:21

1

There is no maximum for the area of $PAB$. The lower the point $P\left(\frac{1}{2},h\right)$ is, the larger the area is.

So the answer is d).

answered Sep 03 '20 at 17:21

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how did you conclude that d would be the right option? – Master Maxx Sep 03 '20 at 17:33
@MasterMaxx It is none of the other as there is no maximum. – mathcounterexamples.net Sep 03 '20 at 17:35

Find coordinates of point from which two tangents are drawn to a given curve.

1 Answers1