 | W. B. Smith - Geometry, Analytic - 1888 - 318 pages
...the number of Eqs. needed is, in general, one greater than the number of parameters. EXERCISES. 1. A point moves so that the sum of its distances from the sides of an % is constant ; what is the point's path ? If IiX + m^y + Ģi = 0, Z,x + m^j + n2 = 0 be... | |
 | John Henry Tanner, Joseph Allen - Geometry, Analytic - 1898 - 484 pages
...4, trisecting the opposite side. What are the ratios of the areas of the resulting triangles ? 13. A point moves so that the sum of its distances from the lines y-3z + ll=0 and 7x-2y + l = 0 is 6. Find the equation of its locus. Draw the figure. 14. Find... | |
 | Charles Hamilton Ashton - Geometry, Analytic - 1902 - 306 pages
...times as far from the point (1, — 2) as from the point (—3, 4). Find the equation of its locus. 7. A point moves so that the sum of its distances from the two axes is always equal to 10. Find the equation of its locus. T 8. A point moves so that its distance... | |
 | Charlotte Angas Scott - Conic sections - 1907 - 452 pages
...geometrically — hence the locus of the point is a circle, centre O, radius 2. Example ii. — A line moves so that the sum of its distances from the points (4, 1), (— 4, - 1) is equal to 12. Find the envelope, if the line does not pass between A, B. (i) State... | |
 | Percey Franklyn Smith, William Anthony Granville - Calculus - 1910 - 250 pages
...now called an ellipse (see p. 43). (c) when e>l. The conic is now called a hyperbola (see p. 48). 6. A point moves so that the sum of its distances from the two fixed points (3, 0) and (— 3, 0) is constant and equal to 10. What is the locus ? Ans. Ellipse... | |
 | John Henry Tanner, Joseph Allen - Geometry, Analytic - 1911 - 330 pages
...4, trisecting the opposite side. What are the ratios of the areas of the resulting triangles ? 13. A point moves so that the sum of its distances from the lines 3y — x + 11 = 0 and 2x — 7.y + l=0 is 4.' Find the equation of its locus. Draw the figure.... | |
 | Percey Franklyn Smith, Arthur Sullivan Gale - Geometry, Analytic - 1912 - 364 pages
...three points (2, 0, 0), (0,' 6, 0), and (0, 0, 4) is always equal to 2. Find the equation of its locus. 16. A point moves so that the sum of its distances from the three coordinate planes is unity. Determine the equation of the locus of a second point which bisects... | |
 | Charles Smith - Conic sections - 1916 - 466 pages
...is equal to its distance from the point (1, 1) ; find the equation of its locus. Ans. x2-2x Ex. 7. A point moves so that the sum of its distances from the axes is 4 units of length. Find the equation of its locus. Ans. Bxj 8.) A point moves so that twice... | |
 | Claude Irwin Palmer, William Charles Krathwohl - Geometry, Analytic - 1921 - 376 pages
...that its ordinate always exceeds f of its abscissa by 8. Find the equation of -its locus and plot. 20. A point moves so that the sum of its distances from the points (3, 0) and (—3, 0) is 8. Find the equation of its locus and plot. 21. A point moves so that the difference... | |
 | Frank Loxley Griffin - Calculus - 1922 - 548 pages
...equidistant from (3, 2) and (7, -4) is the perpendicular bisector of the line joining these points. 10. A point moves so that the sum of its distances from the X and Y axes is constantly 10. Draw its path. (Is this properly an unlimited line? Discuss.) 11. How... | |
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A point moves so that the sum of its distances from the two axes is always equal to 10. 
