The perimeter of a triangle is 20 and the points (-2, -3) and (-2, 3) are two of the vertices of it. Then the locus of third vertex is :
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Step-by-step explanation:
Two given vertices (-2, -3) & (-2, 3) of triangle are two fixed points (treat as loci) & third vertex is a parametric point which moves in such a way that the sum of its distances from two fixed vertices (-2, -3) & (-2, 3) remains constant=20–6=14.
This satisfies the condition of locus of an ellipse by treating two given vertices (-2, -3) & (-2, 3) as loci & third vertex as a parametric (tracing) point sum of whose distances from foci remains constant.
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