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Grade 11Analytical Geometry

if F1=(0,0) , F2=(3,4) and |PF1|+|PF2|=10 then locus of gamma is
a) An ellipse
B) straight line
C) a pair of line
D) none

Profile image of supraja venkatraman
7 Years agoGrade 11
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2 Answers

Profile image of Saurabh Koranglekar
7 Years ago
Dear Student

an ellipse is a regular oval shape, traced by a point moving in a plane so that the sum of its distances from two other points (the foci) is constant, or resulting when a cone is cut by an oblique plane which does not intersect the base

Also if you take P(x,y) and plug values in the equation you will get the same result
Profile image of Arun
7 Years ago
Dear student
 
As 10 is more than 5 . Hence its locus will be an ellipse. 
Hope it helps
 
Regards
Arun (askIITians forum expert)