 A point moves so that the difference of the squares of its distances from two fixed points is constant. Show that the locus is a straight line. Hint. Draw XX' through the fixed points, and YY/ through their middle point.  An Elementary Course in Analytic Geometry - Page 79by John Henry Tanner, Joseph Allen - 1898 - 390 pagesFull view - About this book
 | W. P. Turnbull - Geometry, Analytic - 1867 - 276 pages
...same y b This equation is satisfied by the co-ordinates of F. That is, F lies on the line a/3. (3) A point moves so that the difference of the squares of its distances from two given points is constant. Find the locus of the point. Take the line joining the two given points... | |
 | George Albert Wentworth - 1879 - 196 pages
...parts whose squares shall be to each other as two given lines. Ex. 368. Find the locus of a point which moves so that the difference of the squares of its distances from two fixed points is always equal to a given square. Ex. 369. Construct on the diagonal of a given rectangle... | |
 | Charles Smith - Conic sections - 1883 - 388 pages
...(a, 0) and ( - a, 0) is constant (2c2) ; find the equation of its locus. Ans. z2 + ?/2=c2-a2. Ex. 3. A point moves so that the difference of the squares of its distances from the two fixed points (a, 0) and ( - a, 0) is constant (cs) ; find the equation of its locus. Ans. 4ox=±cs.... | |
 | George Albert Wentworth - Geometry, Analytic - 1886 - 346 pages
...the two fixed points (a, 0) and ( — a, 0) is the constant 2k2; find the equation of its locus. 21. A point moves so that the difference of the squares of its distances from (a, 0) and ( — a, 0) is the constant &2 ; find the equation of its locus. Exercise 10. (Review.)... | |
 | George Albert Wentworth - 1894 - 362 pages
...2£2, we Obtain Oa)2 + y2 + (x + a)2+y2 = 2^ or x2 + y2 = № — a?, as the required equation. 21. A point moves so that the difference of the squares of its distances from (a, 0) and (— a, 0) is the constant £2; find the equation of its locus. Let (x, г/) be the moving... | |
 | George Cunningham Edwards - Geometry - 1895 - 328 pages
...from two given points is fixed. The same for three given points. 145. Find the locus of a point which moves so that the difference of the squares of its distances from two fixed points is constant. 146. Within a circle two chords at right angles to each other intersect... | |
 | Education - 1902 - 678 pages
...many sides has the polygon ? (6) Describe a rectangle equal to a given irregular pentagon. A point P moves so that the difference of the squares of its distances from fixed points A and B is always equal to the square on AB. Prove that P is always on a fixed straight... | |
 | Percey Franklyn Smith, Arthur Sullivan Gale - Geometry, Analytic - 1904 - 453 pages
...Choosing the axes of coordinates to coincide with the given lines, the equation is .x + y = constant. 12. A point moves so that the difference of the squares of its distances from two fixed points is constant. Show that the locus is a straight line. Hint. Draw XX' through the fixed... | |
 | Percey Franklyn Smith, Arthur Sullivan Gale - Geometry, Analytic - 1904 - 462 pages
...Choosing the axes of coordinates to coincide with the giren linee, the equation is .ry = constant. 12. A point moves so that the difference of the squares of its distances from two fixed points is constant. Show that the locus is a straight line. Hint. Draw XX' through the fixed... | |
 | Percey Franklyn Smith, Arthur Sullivan Gale - Geometry, Analytic - 1904 - 462 pages
...the ахея of coordinates to coincide with the given lines, the equation is x + y= constant. 18. A point moves so that the difference of the squares of its distances from two fixed points is constant. Show that the locus is a straight line. Hint. Draw XX' through the flxed... | |
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