| 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 =... | |
| 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... | |
| 462 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... | |
| 348 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... | |
| G. P. West - Geometry - 1965 - 370 pages
...described; through X a line is drawn cutting the circle at R, S. Show that XR2 + RY2 = XS2 + S Y2. 12. **A point moves so that the sum of the squares of its...is a circle having for centre the mid-point of AB.** 13. Prove that the sum of the squares on the sides of a parallelogram is equal to the sum of the squares... | |
| James McMahon - Mathematics - 2015 - 244 pages
...; then eliminate OB2.) tEx. 1140. In the figure of Ex. 1139, OA' + OD2=OB2 + OC2 + 4BC2. |Ex. 1141. **A point moves so that the sum of the squares of its...is a circle, having for centre the mid-point of AB.** tEx. 1142. The sum of the squares on the sides of a parallelogram is equal to the sum of the squares... | |
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