perplexus.info :: Geometry : Coordinating The Intersection(s)

Coordinating The Intersection(s) (Posted on 2008-07-15)

The circle R is tangent to the line y= x, and its point of tangency is 5√2 from the origin, that is (0, 0). The length of the chord made by the line y = -x on R is 2√22 and (-12, 2) lies inside R.

At which coordinate(s) do the circle R intersect the parabola x = -y²?

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The required points of intersection are:
(-2.53542, 1.59229), (-2.962934, -1.72132), (-17.69971, -4.2071), and:
(-18.80194, 4.33612).

For an explanation, refer to the solution submitted by Praneeth in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: Solution	K Sengupta	2008-07-31 12:30:02
Solution	Praneeth	2008-07-22 11:45:26

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