Home
Class 11
MATHS
Show that the set of all points such th...

Show that the set of all points such that the difference of their distances from (4,0) and (-4, 0) is always equal to 2 represent a hyperbola.

Text Solution

Verified by Experts

The correct Answer is:
`15x^(2) - y^(2) = 15` which represents hyperbola.
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (TRUE/FALSE)|8 Videos
  • CONIC SECTIONS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (FILLERS)|6 Videos
  • CONIC SECTIONS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)|22 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise (Questions of Module) (Knowledge Test :)|15 Videos
  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST :)|12 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the set of points P the sum of whose distances from A(4,0,0) and (-4,0,0) is equal to 10

Find the equation of the set of al points the sum of whose distance from the points (3,0) and (9,0) is 12.

What is the distance between A (4,0) and B (8, 0).

Find the equation of the set of the points P such that its distance from the points A(3, 4, -5) and B(-2, 1, 4) are equal.

Find distance from point P(2, -4, 5) to XZ plane.

If the distance between the points (a, 2) and (3, 4) be 8, then a equals to

Find the equation of the set of all points whose distance from (0,4) are (2)/(3) of their distance from the line y = 9.

Three distinct point A, B and C are given in the 2-dimensional coordinates plane such that the ratio of the distance of any one of them from the point (1, 0) to the distance from the point (-1, 0) is equal to (1)/(3) . Then, the circumcentre of the triangle ABC is at the point

The distance between the points (2, 3) and (4, 1) is….

Find the coordinates of points which divide the line segment joining A(-4, 0) and B(0, 6) into four equal parts.