 Find the equation of the locus of a point which moves so that the sum of the squares of its distances from the x- and z-axes equals 4.  Elements of Geometry - Page 174by George Cunningham Edwards - 1895 - 293 pagesFull view - About this book
 | N. P. Bali, N. Ch. Narayana Iyengar - Engineering mathematics - 2004 - 1438 pages
...of a 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | Charles Davison - 262 pages
...distance from the point ( — a, 0). What does the equation become when X = 1 ? 10. Find the equation of the locus of a point which moves so that the sum of its distances from the points (a, 0), ( - a, 0) is constant and equal to 2c. 11. If the curve y2=\x + /i passes through... | |
 | 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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