**find the locus of the mid point of the portion of the line**

A point is at a constant distance of R from the origin then find its locus? The point is at a constant distance from origin hence the locus is the circle of radius R. i.e. x 2 +y 2 =R 2 In some problems the constraint will produce a parameter that will give the movement to the point over the locus.... Find the locus of midpoint of variable chord of parabola y 2 = 4ax such that tangents make an angle Î¦ between them.

**The locus of the mid-point of a chord of the circle x2**

We wish to describe the locus of points covered by the midpoint of the triangle, as the vertices range over configurations allowed by the above constraint. This locus comprises a solid region. We...6/01/2010Â Â· Hi. I'm not sure how to answer questions involving midpoints where multiple parameters are used. Eg. Locus of the midpoint of P and Q on x^2 = 4ay where the x-coordinate differ by 2a

**Find locus of midpoint on chord of parabola? Yahoo Answers**

6/02/2011Â Â· 1. The problem statement, all variables and given/known data From the point (6,-8) all possible lines are drawn to cut x axis , find the locus of their middle ponts 2. Relevant equations none 3. The attempt at a solution i got the coordinates of the middle point as ((6+x)/2 ,-4 )... how to fix security certificate error android Find the locus of a moving point equidistant from the line 2x+y=10 and 3x+4y=6. 1 educator answer Find the equation of the locus of a point that it is equidistant from (-2,4) and the y-axis.. The forest how to kill mutants

## How To Find The Locus Of A Midpoint

### y=2x+c is a chord of the ellipse x^2+4y^2=16. as c varies

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## How To Find The Locus Of A Midpoint

### Find the locus of midpoint of variable chord of parabola y 2 = 4ax such that tangents make an angle Î¦ between them.

- If the equation of the given line is , then the solution is shown below: The line intercepts the axes. Thus the coordinate of the point where the line intercepts x-axis is , and the coordinate of the point where the line intercepts y-axis is .
- 9/11/2005Â Â· I have tride with saying that if c and d are the centres of the circle and o is its midpoint of CD then by structure as well as by sense we can feel that M is midpoint of PAQ where OA = OM. thus midpoint lies at A when OM is perpendicular to PAQ. these are basic construction properties which i â€¦
- 9/11/2005Â Â· I have tride with saying that if c and d are the centres of the circle and o is its midpoint of CD then by structure as well as by sense we can feel that M is midpoint of PAQ where OA = OM. thus midpoint lies at A when OM is perpendicular to PAQ. these are basic construction properties which i â€¦
- 24/08/2010Â Â· Best Answer: Let (x1, y1) be the midpoint of the chord As it is parallel to y = 2x + c, its slope tanÎ¸ = 2 => sinÎ¸ = 2/âˆš5 and cosÎ¸ = 1/âˆš5 Let the points of intersection of the chord with the ellipse be at a distance r from the midpoint of the chord => Intersection points are (x1 + rcosÎ¸, y1 + rsinÎ¸

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