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A rectangle having 125x75 mm side inscribed with two parabolas in it with axis right angle to each other.How to Draw It.??? help0
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Member • Jun 7, 2015
You have only three defining points, two corners and mid point of the opposite side. There can be an infinite number of parabolas passing through these points.Are you sure? This action cannot be undone. -
Member • Jun 7, 2015
Considering two cornerns and mid pt. Of opposite side there is only one possibility only single symmetric axis parabola will pass through it.
As corner ends will be lie on rectangle side END point and opposite side mid point. Will be the vertex.
Since we are not considering symmetric parabolas with infinite no. Of corner ends lie on rectangle side.Are you sure? This action cannot be undone. -
Member • Jun 7, 2015
The only conic section uniquely defined by three points is a circle. Not true of other conic sections.nooneperfectConsidering two cornerns and mid pt. Of opposite side there is only one possibility only single symmetric axis parabola will pass through it.Are you sure? This action cannot be undone. -
Member • Jun 7, 2015
No circle.will be not possible since it is rectangle it will not fit in corner and mid pt.Are you sure? This action cannot be undone. -
Member • Jun 7, 2015
This will be the solution i guessAre you sure? This action cannot be undone. -
Member • Jun 7, 2015
There will be one circle that passes through the two corners of one side and the mid point of the opposite side. It will not be an inscribed complete circle but an arc. The second picture does denote one of possible infinite solutions.Are you sure? This action cannot be undone. -
Member • Jun 7, 2015
Yup.
But i will not say it has infinite solutions since problem statment is that it inscribe two parabolas which are in rectangle .
So as two corners and opposite side mid pt. Is only case.
ThxAre you sure? This action cannot be undone. -
Member • Jun 7, 2015
Please go through conic sections in detail. There can be an infinite number of parabolas going through the same three points.nooneperfectSo as two corners and opposite side mid pt. Is only case.Are you sure? This action cannot be undone. -
Member • Jun 7, 2015
Considering only Two corner and mid pt. 8n rectangleAre you sure? This action cannot be undone. -
Member • Jun 7, 2015
This can be true only as per ur point.
But if vertex as mid point consider then its only one parabola...Are you sure? This action cannot be undone. -
Member • Jun 8, 2015
I agree if the additional constraint on the vertex is put. Otherwise one can have an infinity of two parabolas with perpendicular axes passing through the specified points.nooneperfectA rectangle having 125x75 mm side inscribed with two parabolas in it with axis right angle to each other.
If the vertex is the midpoint of the opposite side, then the solution is trivial. Make the vertex the origin and the axis as y axis. Then the parabola is y = ax^2. Determine a from one of the two end points and plot.Are you sure? This action cannot be undone. -
Member • Jun 8, 2015
Right Sir... with above constraint this will be solutionsolution what interpretations going in my Brain.thanks a lot ... i learned so muchAre you sure? This action cannot be undone. -
Member • Jun 8, 2015
Both of us learnt a lot.nooneperfecti learned so muchAre you sure? This action cannot be undone.