Books Books A point moves so that the sum of the squares of its distances from the points (0, 0), (1, 0) is constant. Theoretical Geometry: Based on the Various Geometry Books by Godfrey and Siddons - Page 70
by Arthur Warry Siddons, Reginald Thomas Hughes - 1926 - 173 pages ## Analytic Geometry

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.... ## Analytic Geometry

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... ## Plane and Solid Geometry

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... ## Analytic Geometry

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 =... ## Geometry - Plane, Solid and Analytic Problem Solver

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;... ## A Textbook of Engineering Mathematics: For B.Sc. (Engg.). B.E., B.Tech., M.E ...

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... ## A Shorter Geometry

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... ## A Shorter Geometry

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... ## The New Geometry: Form One

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... 