 | Charlotte Angas Scott - Conic sections - 1907 - 452 pages
...3 = 0 is five times the distance to the line :«• + ;/ - 1 = 0. Find the locus of the point. 11. Find the locus of a point which moves so that its distances from the lines ax + by + с = 0, a'x + b'y + c' = 0 are in a given ratio A-. 12. A point, initially at (7,... | |
 | Frederick Shenstone Woods, Frederick Harold Bailey - Mathematics - 1907 - 412 pages
...Find the equations of the locus of a point equally distant from two fixed straight lines. 77. A point moves so that its distances from two fixed points are in a constant ratio k. Show that the locus is a circle except when k = 1. 78. A point moves so that the sum of the squares... | |
 | Percey Franklyn Smith, William Anthony Granville - Calculus - 1910 - 248 pages
...(—3, 0) always equals 68. Plot the locus. Ans. The circle ж2 + у2 = 25. 7. Find the equation of the locus of a point which moves so that its distances from (8, 0) and (2, 0) are always in a constant ratio equal to 2. Plot the locus. Ans. The circle a;1+j/2=16.... | |
 | Andrew Jamieson - Mechanical engineering - 1910 - 546 pages
...as follows, beginning with those known as the conic sections : — (a) A Straight Line. — The path of a point which moves so that its distances from two fixed lines or axes are either always equal or in some fixed proportion to one another. (b) A Circle. —... | |
 | Frederick Shenstone Woods, Frederick Harold Bailey - Calculus - 1917 - 536 pages
...the equations of the locus of a point equally distant from two fixed straight lines. 119.' A point moves so that its distances from two fixed points are in a constant ratio k. Show that the locus is a circle except when k = í. 120. A point moves so that the sum of the squares... | |
 | Maria M. Roberts, Julia Trueman Colpitts - Geometry, Analytic - 1918 - 266 pages
...square of its distance from a fixed point is proportional to its distance from a fixed line. 22. A point moves so that its distances from two fixed points are in a constant ratio K. Show that this is a circle excepting when К = 1, in which case it is a straight line. CHAPTER VII... | |
 | Charles Ernest Weatherburn - Mathematics - 1921 - 218 pages
...point, the sum of the squares on whose distances from n given points is constant, is a sphere. 33. The locus of a point which moves so that its distances from two fixed points are in a constant ratio n : 1 is a sphere. Also show that all such spheres, for different values of n, have a common radical... | |
 | William Fogg Osgood, William Caspar Graustein - Geometry, Analytic - 1921 - 650 pages
...Exercises 17-19. In connection with these exercises, Exs. 28, 29, p. 522 will be found useful. 17. Find the locus of a point which moves so that its distances to two skew lines are always La the same ratio, k. 18. Prove that a line which is rotated about an... | |
 | Maurice Arthur Parker, Fred Pickup - Engineering design - 2014 - 74 pages
...acceptable approximation if the minor axis is small compared with the major. Parabola The parabola is the locus of a point which moves so that its distances from a fixed point, the focus, and a fixed straight line, the directrix, are always equal. To draw the curve... | |
 | 100 pages
...State the steps of your construction. 18. (a) State the steps of a geometrical construction, giving the locus of a point which moves so that its distances from two fixed points are equal. Prove that the construction is correct. (b) Draw an angle POQ = 40°. On OP mark a point X so... | |
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A point moves so that its distances from two fixed points are in a constant ratio k. 
