 | Paul Prentice Boyd, Joseph Morton Davis, Elijah Laytham Rees - Geometry, Analytic - 1922 - 280 pages
...point whose distance from a given point bears a constant ratio to its distance from a fixed plane. b) A point moves so that the sum of the squares of its distances from two intersecting perpendicular straight lines is a constant. Derive the equation of the locus. Hint:... | |
 | Frank Loxley Griffin - Calculus - 1922 - 548 pages
...path. Select some special point on the curve and verify that it fulfills the specified requirement. 7. A point moves so that the sum of the squares of its distances from (3, 0) and (-3, 0) is any constant k. Find the character of itt, path. Draw the path when A: = 22 and... | |
 | Lewis Parker Siceloff, George Wentworth, David Eugene Smith - Geometry, Analytic - 1922 - 297 pages
...equal to the square of its distance from (A, 0). 12. Find the equation of the locus of a point P which moves so that the sum of the squares of its distances from (— 3, 0), (3, 0), and (0, 6) is equal to 93. Draw the locus. 13. Find the equation of the locus of... | |
 | Arthur Warry Siddons, Reginald Thomas Hughes - Geometry - 1926 - 202 pages
...Apollonius' theorem become if the vertex moves down (i) on to the base, (ii) on to the base produced? Ex. 54. A point moves so that the sum of the squares of its distances from two fixed points A, B remains constant ; prove that its locus is a circle having for centre the mid-point... | |
 | Clyde Elton Love - Geometry, Analytic - 1927 - 288 pages
...points (0, 0), (1, 0) is constant. Find the equation of its locus. Ans. 2я? + 2уг - 2x + l = k. 26. A point moves so that the sum of the squares of its distances from two fixed points is constant. Prove that its locus is a circle. 27. A point moves so that its distance... | |
 | University of Adelaide. Public Examinations Board - Examinations - 1928 - 1280 pages
...the square on half the third side and the square on the median bisecting the third side. A point P moves so that the sum of the squares of its distances from two fixed points remains constant. Prove that the locus of P is a circle. 4. ABC is a triangle, in... | |
 | Research & Education Association Editors, Ernest Woodward - Mathematics - 2012 - 1080 pages
...points a distance RI + R2 away from point O: a circle with center 0 and radius RI + R2 . • PROBLEM 692 A point moves so that the sum of the squares of its distances from two given fixed points is a constant. Find the equation of its locus and show that it is a circle.... | |
 | N. P. Bali, N. Ch. Narayana Iyengar - Engineering mathematics - 2004 - 1438 pages
...- 4)2 = 52 9 + z2-%z+ 16-25 = 0 or x or x which is the required equation of the sphere. Example 2. A point moves so that the sum of the squares of its distances from the six faces of a cube is constant ; show that its locus is a sphere. Sol. Take the centre of the cube... | |
 | Narayan Shanti & Mittal P.K. - Mathematics - 2007 - 436 pages
...between (1) and (2), ie, x (x - a) + у (у - b) + z (z - c) = 0. => x2 + y2. + z2 - ax - by - cz = 0. 3. A point moves so that the sum of the squares of its distances from the six faces of a cube is constant; show that its locus is a sphere. (Kumaon, 2003) Sol. Take the centre... | |
 | University of St. Andrews - 1898 - 610 pages
...the circles — and find the angle between those diameters of these which pass through the origin. 14. A point moves so that the sum of the squares of its distances from the sides of an equilateral triangle is constant, = fc2, say. Show that the locus of the point is a circle. 15.... | |
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A point moves so that the sum of the squares of its distances from the four sides of a square is constant. 
