 | Lewis Parker Siceloff, George Wentworth, David Eugene Smith - Geometry, Analytic - 1922 - 304 pages
...that the square of its distance from a given point is equal to its distance from a given line. 37. A point moves so that the sum of the squares of its distances from the sides of an equilateral triangle is constant. Show that the locus of the point is a circle. 38.... | |
 | 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 Schultze, Frank Louis Sevenoak - Geometry - 1925 - 504 pages
...a right circular cylinder, and will touch it along a circle. Ex. 5. What is the locus a point such that the sum of the squares of its distances from two fixed points is constant? Ex. 6. The radius of a sphere is 12 inches. Find the circumference of the small circle... | |
 | Clyde Elton Love - Geometry, Analytic - 1927 - 288 pages
...numerically equal to its distance from the une x — k. Draw the curve. Ans. x2 + уг + x = k. 25. A point moves so that the sum of the squares of its distances from the points (0, 0), (1, 0) is constant. Find the equation of its locus. Ans. 2я? + 2уг - 2x + l =... | |
 | 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 which /ifi=5c.m.,.B(7=13c.m.,... | |
 | 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. Solution;... | |
 | 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... | |
 | 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... | |
 | 464 pages
...side PR of an isosceles A PQ.R is produced to S so that RS = PR: prove that QS2=2QR2+PR2. tEx. 849. A point moves so that the sum of the squares of its...circle, having for centre the mid.point of AB. Ex. 8SO. Prove that the square on the difference of the sides of a right.angled triangle, together with... | |
 | 352 pages
...side PR of an isosceles A PQR is produced to S so that RS = PR: prove that QS2=2QR2+PR2. tEx. 849. A point moves so that the sum of the squares of its...circle, having for centre the mid-point of AB, Ex. 86O. Prove that the square on the difference of the sides of a right-angled triangle, together with... | |
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A point moves so that the sum of the squares of its distances from the points (0, 0), (1, 0) is constant. 
