Grade 12Algebra
the radius of circle toching parabola y2=x at (1,1) and having directrix of y2=x as its normal is?
the radius of circle toching parabola y2=x at (1,1) and having directrix of y2=x as its normal is?
1 Answer
Allu Sidhu
The given parabola is in standard form..With a=1/4..The equation of directrix is x+a=0..X+1/4=0We know that normal to a circle passes through center of circle ..Therefore question is reduced to finding perpendicular distance of (1,1) to the line that is 5/4Therefore radius is 5/4
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