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Triangle ABC has unequal sides P is the set of points equidistant from B and C and q is the set of points equidistant from sides AB and AC , find n(p intersection q)

Rishabh Alayathil , 7 Years ago
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anser 1 Answers
Rishabh Ranjan

Last Activity: 6 Years ago

n(P intersection Q)=1
Explanation-
P is the set of points which lie on perpendicular bisector of line BC(Since perpendicular bisector is defined as the locus of points which are equidistant from the two end points of a line segment).
Q is the set of points lying on the median of triangle ABC passing through vertex A(Since Median is defined as the locus of the points which are equidistant from two sides of a triangle).
These intersect at only one point, i.e., the midpoint of B and C.

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