Home
Class 11
MATHS
Find the equation of the locus of a poin...

Find the equation of the locus of a point such that the sum of the squares of the distance from the points (3, 5), (1, -1) is equal to 20.

Text Solution

Verified by Experts

The correct Answer is:
P is `x^2+y^2-4x - 4y + 8 = 0 `
Promotional Banner

Topper's Solved these Questions

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    FULL MARKS|Exercise EXERCISE - 6.2|15 Videos
  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    FULL MARKS|Exercise EXERCISE - 6.3|19 Videos
  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    FULL MARKS|Exercise Additional Questions Solved|19 Videos
  • TRIGONOMETRY

    FULL MARKS|Exercise Exercise 3.12|20 Videos
  • VECTOR ALGEBRA-I

    FULL MARKS|Exercise ADDITIONAL PROBLEMS|26 Videos

Similar Questions

Explore conceptually related problems

Find the locus of a point such that the sum of its distance from the points (2, 2) and (2,-2) is 6.

Find the locus of appoint which moves such that the sum of the squares of its distance from the points A(1,2,3),B(2,-3,5)a n dC(0,7,4)i s120.

Find the locus of appoint which moves such that the sum of the squares of its distance from the points A(1,2,3),B(2,-3,5)a n dC(0,7,4)i s120.

The equation of the locus of the point whose distance from y-axis is half the distance from origin is

Find the locus of a point, the sum of squares of whose distance from the planes x-z=0,x-2y+z=0 and x+y+z=0 is 36

Prove that the locus of the point that moves such that the sum of the squares of its distances from the three vertices of a triangle is constant is a circle.

Find the locus of a point whose distance from (a, 0) is equal to its distance from the y-axis.

Find the locus of a point, the sum of squares of whose distance from the planes x-z=0,x-2y+z=0a n dx+y+z=0i s36 .

Find the equation of the locus of the point P such that the line segment AB, joining the points A(1, -6) and B(4, -2), subtends a right angle at P.