Home
Class 11
MATHS
A man running a racecourse notes that th...

A man running a racecourse notes that the sum of the distances from the two flag posts from him is always `10` m and the distance between the flag posts is `8` m. Find the equation of the posts traced by the man.

Text Solution

Verified by Experts

The correct Answer is:
`(x^(2))/(25)+(y^(2))/(9)=1`
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    NCERT BANGLISH|Exercise Exercise 11.4|15 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT BANGLISH|Exercise MISCELLANEOUS EXERCISES ON CHAPTER 24|1 Videos
  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NCERT BANGLISH|Exercise MISCELLANEOUS EXERCISE|6 Videos

Similar Questions

Explore conceptually related problems

A man running on a race course notes that the sum of his distances from the two flag posts is always 10 m and the distance between the flag posts is 8 m. Find the equation of the path traced by the man.

The sum of the distances of a moving point from the points (c,0) and (-c,0) is always 2a unit (agtc) . Find the equation to the locus of the moving point.

A point moves in such a manner that the sum of the squares of its distances from the origin and the point (2, -3) is always 19. Show that the locus of the moving point is a circle. Find the equation to the locus.

The sum of the distances of a moving point from the points (3,0) and (-3,0) is always equal to 12 . Find the equation to the locus and identify the conic represented by the equation.

If the distance between the foots of two pillar of lengths 35 m and 50m be 20m, then find the distance between their vertices.

If a point moves on a plane is such a way that the sum of its distances from two fixed points on the plane is always a constant then the locus traced out by the moving point on the plane will be _

The sum of the distances of a moving point from the points (5 , 0 , 0) and ( - 5 , 0 , 0) is always 20 unit . Find the equation to the locus of the moving point .

The sum of the distances of a moving point from the points (c,0)and (-c,0) is always 2a unit (a>c).Find the equation to the locus of the moving point.

Two poles of heights 6m and 11m stand on a plane ground. If the distance between the feet of the poles is 12m find the distance between their tops.

If a point moves on a plane in such a way that the difference of its distances from two fixed points on the plane is always a constant then the lous traced out by the moving point on the plane is