Calculus

Conic Sections-

A point moves so that its distance from the origin is twice its distance from the point (3,0). Show that the locus is a circle, and find its centre and radius.

  1. 👍
  2. 👎
  3. 👁

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    A particle moves on a straight line. The velocity after t seconds is given by V= 3t^2 – 6t – 8. The distance of the particle from the origin after one second is 1o meters. Calculate the distance of the particle from the origin

  2. mathematics

    Particle P moves in a straight line such that, t seconds after passing through a fixed point O its velocity V m/s given by the equation V=3t^2-15t+18.Find a) the values of t for which P is instantaneously at rest b) an expression

  3. Mathematics

    What is the vertical distance from the origin to the point (1, 4)?

  4. mathematics

    What is the vertical distance from the origin to the point (8, 1)?

  1. geometry

    Let point A be (2,7) and point B be (-6,-3). What point is on the segment connecting A and B such that the distance from the point to B is 4 times the distance from the point to A? The point is P .i find PB=4/5AB and the point P

  2. Calculus

    a hyperbola passing through (8,6) consists of all points whose distance from the origin is a constant more than its distance from the point (5,2). find the slope of the tangent line to the hyperbola at (8,6).

  3. trigonometry

    . A surveyor wishes to measure the distance across Pasig River. She sets up her transit at a point C on the bank of the river, and sights on a point B on the other bank directly opposite her. Then she turns the transit through a

  4. Physics

    1) A point charge q2 = -0.5 μC is fixed at the origin of a co-ordinate system as shown. Another point charge q1 = 0.6 μC is initially located at point P, a distance d1 = 8.9 cm from the origin along the x-axis. a. What is ΔPE,

  1. physics

    Two point charges are placed on the x axis. (Figure 1) The first charge, q1 = 8.00nC , is placed a distance 16.0m from the origin along the positive x axis; the second charge, q2 = 6.00nC , is placed a distance 9.00m from the

  2. physics need help plz

    An arrangement of two pulleys, as shown in the figure, is used to lift a 49.6-kg mass a distance of 3.70 m above the starting point. Assume the pulleys and rope are ideal and that all rope sections are essentially vertical. (a)

  3. Pre-calculus

    Find the equation of the locus of the point which moves so that its distance from the point (2,0) is 2/3 its distance from the line y=5.

  4. Math

    Use lagrange multipliers to find the point on the plane x-2y 3z-14=0 that is closet to the origin?(try and minimize the square of the distance of a point (x,y,z) to the origin subject to the constraint that is on the plane) Help

You can view more similar questions or ask a new question.