A given point P is seven units from a given straight line. The number of points that are 3 units from the line and also 10 units from point P is: 1, 2, 3, or 4?
Solution
let the required point be A
A is intersection of circle of radius 3 centered at P,and a lines at a distance of 10 from given line
since locus of point at a particular distance
from a point is circle
from line is lines
thus now P is 3 and 17 distant from those lines of locus
hence there can be only one intersection as radius of the circle is 3
required no of points=1
with regards
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A given point P is seven units from a given straight line- The number.docx
1. A given point P is seven units from a given straight line. The number of points that are 3 units
from the line and also 10 units from point P is: 1, 2, 3, or 4?
Solution
let the required point be A
A is intersection of circle of radius 3 centered at P,and a lines at a distance of 10 from given line
since locus of point at a particular distance
from a point is circle
from line is lines
thus now P is 3 and 17 distant from those lines of locus
hence there can be only one intersection as radius of the circle is 3
required no of points=1
with regards
