a intersting problem between paraboala and circle
Geometry
Level
4
Let A and B be two distinct point on the paraboa y^2=4x .if the axis of parabola touches a circle of radius r having AB as diameter then the slope of the line joining A and B can be
-4/r
-1/r
1/r
2/r
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1 solution
Easy one Take pts A and B as t1,t2 paramateric form we find that slope comes to be 2/(t1+t2) Now ht of md pt of A and B is t1+t2 and since center is at a ht of r so t1+t2=r