 | Albert Luther Candy - Geometry, Analytic - 1904 - 288 pages
...25 and x - 4 y + 13 = 0, and cuts the x-axis in two coincident points. Find its equation. 34. Show that the locus of a point which moves so that the sum of its distances from the two lines x cos a + y sin « = p and x cos a.' + y sin a' = p' is constant and equal to К is the... | |
 | Horatio Scott Carslaw - Calculus - 1905 - 124 pages
...-jj+p = 1. Prove that SP=a + «E1, and S'P = <i-«Ej, and deduce that the curve is the locus of the point which moves so that the sum of its distances from two fixed points is constant. 4. The tangent at P meets the major axis in T, and PN is the ordinal? of... | |
 | William Meath Baker - Conic sections - 1906 - 363 pages
...Q, and on the same side of the line as the origin. Take A, B, and C as positive quantities. 7. Show that the locus of a point, which moves so that the sum of its perpendicular distances from two given intersecting straight lines is constant, is a straight line.... | |
 | 1906 - 502 pages
...the difference between the squares on the tangents equals twice the rectangle AH . MN. Q. 26. Find the locus of a point which moves so that the sum of tho squares of its distances from two fixed points is constant. Construct the locus to scale when the... | |
 | Frederick Shenstone Woods, Frederick Harold Bailey - Mathematics - 1907 - 408 pages
...Find the locus of points equally distant from the lines 2z + 3y — 0 = 0 and 3x--2y + 1 = 0. 75. Show that the locus of a point which moves so that the sum of its distances from two h'xed straight lines is constant is a straight line. 77. A point moves so that its distances from two... | |
 | Charlotte Angas Scott - Conic sections - 1907 - 452 pages
...eccentricity, with one of the foci and the corresponding directrix. 22 3. Prove that the ellipse ^ + ^ = 1 is the locus of a point which moves so that the sum of its distances from the two foci is equal to the major axis. Explain the particular case that arises when the two foci... | |
 | University of Oxford - 1907 - 160 pages
...are bisected by two straight lines meeting at F. Prove that AF bisects the angle ВАС. 4. (6) Find the locus of a point which moves so that the sum of the squares of its distances from two fixed points is a constant area. 7. A, B, C, D are the vertices... | |
 | Norman Colman Riggs - Geometry, Analytic - 1910 - 328 pages
...circle with center at the origin and radius r. 12. A circle tangent to both axes and radius r. 14. The locus of a point which moves so that the sum of its distances from (0, 3) and (0, — 3) is 8. 15. The locus of a point which moves so that the difference of Its distances... | |
 | John Henry Tanner, Joseph Allen - Geometry, Analytic - 1911 - 328 pages
...formed by the lines whose equations are 3 x + ;/ + 4 = 0, 3 x — 5 y + 34 = 0, and 3x— 2 y + 1 = 0. Check the result by finding the area of the triangle...straight line. 13. Express by an equation that the point P] = (xu yi) is equally distant from the two lines a?— 2y = 11 and 3a; = 4?/+5. (Give two answers.)... | |
 | John Henry Tanner, Joseph Allen - Geometry, Analytic - 1911 - 330 pages
...triangle formed by the lines whose equations are 3x + y + i = 0, 3x — 5y + 34 = 0, and 3x— 2y + 1=0. Check the result by finding the area of the triangle...straight line. 13. Express by an equation that the point P, = (xlt l/l) is equally distant from the two lines x— 2y = 11 and 3x = 4y+5. (Give two answers.)... | |
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Show that the locus of a point which moves so that the sum of its distances from two h'xed straight lines is constant is a straight line. 
