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  •  If  <img alt="\mathrm{F_1 \equiv(0,0), F_2 \equiv(3,4) \text { and }\left|P F_1\right|+\left|P_2\right|=10}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7BF_1%20%5Cequ

 If  \mathrm{F_1 \equiv(0,0), F_2 \equiv(3,4) \text { and }\left|P F_1\right|+\left|P_2\right|=10}  ,then the locus of  P  is 

Option: 1

An ellipse

 


Option: 2

  A straight line


Option: 3

A hyperbola


Option: 4

A line segment


Answers (1)

best_answer

As sum of distances is constant and greater than \mathrm{ F_1F_2,} locus is an ellipse.

Hence  (A) is  the correct  answer.

 

Posted by

Rishi

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