 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.  Analytic Geometry - Page 145by Lewis Parker Siceloff, George Wentworth, David Eugene Smith - 1922 - 290 pagesFull view - About this book
 | N. P. Bali, N. Ch. Narayana Iyengar - Engineering mathematics - 2004 - 1438 pages
...parallelogram. Find the point equidistant from (a, 0, 0), (0, b, 0), (0, 0, c) and (0, 0, 0). Find the locus of a point which moves so that the sum of its distances from the points (a, 0, 0) and (- a, 0, 0) is constant (= 2k). Find the locus of a point which moves so that... | |
 | Sue Bright, Catherine Roe - Juvenile Nonfiction - 2005 - 230 pages
...from three fixed points. Q Use LOGO to draw this five-pointed star. 0 Draw the locus of a point that moves so that the sum of its distances from two fixed points is constant. A rectangle is drawn on a coordinate grid so that the area is always 8 square units from... | |
 | 176 pages
...~ S'P = PT ~ PT' = TT' = EE' = const. The point S' is also called a 'focus.' Hence, the ellipse is the locus of a point which moves so that the sum of its distances from two fixed points is constant. The hyperbola is the locus of a point which moves so that the difference of its distances... | |
 | 288 pages
...~ S'P = PT ~ P2'' = 2T' = EE' = const. The point S' is also called a 'focus.' Hence, fte ellipse is the locus of a point which moves so that the sum of its distances from two fixed points is constant. The hyperbola is the locus of a point which moves so that the difference of its distances... | |
 | 352 pages
...as from OY; also the locus of points J as far from OX as from OY. Ex. 678. (On squared paper.) Plot the locus of a point which moves so that the sum of its distances from two lines at right angles is always 4 inches. Ex. 679. (On squared paper. ) Plot the locus of a point which... | |
 | 480 pages
...as from OY ; also the locus of points ^ as far from OX as from OY. Ex. 13. (On squared paper.) Plot the locus of a point which moves so that the sum of its distances from two lines at right angles is always 4 inches. Ex. 14. (On squared paper.) Plot the locus of a point which... | |
 | Thomas Tate (Mathematical Master, Training College, Battersea.) - 1860 - 404 pages
...as from OY; also the loons of points J aa far from OX as from OY. Ex. 11. (On squared paper.) Plot the locus of a point which moves so that the sum of its distances from two lines at right angles is always 4 inches. Ex. 12. (On squared paper.) Plot the locus of a point which... | |
 | 464 pages
...as from OY; also the locus of points J as far from OX as from OY. Ex. 578. (On squared paper.) Plot the locus of a point which moves so that the sum of its distances from two lines at right angles is always 4 inches. Ex. 579. (On squared paper. ) Plot the locus of a point which... | |
 | Actuarial Society of America - Insurance - 1928 - 482 pages
...the form o o + 6Vc where a, b, and c are rational numbers. 19. Determine the equation or equations of the locus of a point which moves so that the sum of its distances from the lines 5x - 12i/ + 3 = 0 and 3z + 4i/ - 4 = 0 is 6. 20. Find the equations of the lines which make... | |
 | B. S. Vatssa - 2002 - 1512 pages
...distances from the point (0, 2) and (0, - 2) is 6, is 9x* + Sy2 = 45. 14. Show that the equation to the locus of a point which moves so that the sum of its distances from (3, 0) and (- 3, 0) is less than 9, is 20*2 + Збу2 < 405. 15. Find the locus of a point of intersection... | |
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