 | Actuarial Society of America - Insurance - 1928 - 482 pages
...the form o o + 6Vc where a, b, and c are rational numbers. 19. Determine the equation or equations of the locus of a point which moves so that the sum of its distances from the lines 5x - 12i/ + 3 = 0 and 3z + 4i/ - 4 = 0 is 6. 20. Find the equations of the lines which make... | |
 | 476 pages
...b> Solution : x2 v2 — + -i-= 1 a = 5, b = 3 9 25 2b2 18 Length of latus rectum = - = — a 5 293. The locus of a point which moves, so that the sum of its distances from (3, 0) and (-3, 0)is9 81 45 44 0 í+Y = 81 45 Solution : 45 81 44 81 45 The locus with the condition... | |
 | B. S. Vatssa - 2002 - 1512 pages
...distances from the point (0, 2) and (0, - 2) is 6, is 9x* + Sy2 = 45. 14. Show that the equation to the locus of a point which moves so that the sum of its distances from (3, 0) and (- 3, 0) is less than 9, is 20*2 + Збу2 < 405. 15. Find the locus of a point of intersection... | |
 | Jain, P.K. - Geometry, Analytic - 1986 - 378 pages
...contact of the tangents from the point to two fixed circles are perpendicular, is a circle. 8. Prove that the locus of a point which moves so that the sum of the squres of its distances from the the three vertices of a triangle is constant, is a circle whose... | |
 | 288 pages
...the point (1, 0) is equal to its distance from the line 1Лх + 3 = 0. 24. Determine the equation of the locus of a point which moves so that the sum of the squares of its distances from the points Q(4, 2) and R(2, - 4) = 5. 9. THE CIRCLE 9.1 CIRCLE GEOMETRY... | |
 | Mathematicians - 1906 - 862 pages
...equation when the double sign is taken plus. Hence the branch on which P is located may be defined as the locus of a point which moves so that the sum of ß times its distance from one point and * times its distance from another is constant We may therefore... | |
 | 512 pages
...the point (1, 0) is equal to its distance from the line l/ix + 3 = 0. 24. Determine the equation of the locus of a point which moves so that the sum of the squares of its distances from the points Q(4, 2) and R(2, - 4) = 5. 16. CIRCLE 16.1 CIRCLE GEOMETRY... | |
 | Euclid - 1845 - 336 pages
...locus of the mid-points of the straight lines drawn from a given point to meet a given circle. 2. Find the locus of a point which moves so that the sum of the squares on the lines joining it to two given points is constant. 3. Triangles are described on... | |
 | 392 pages
...the constant is 4 square units [give a geometrical proof that your result is correct]. Ex. 4. Find the locus of a point which moves so that the sum of the squares of its distances from the points (a, 0) , ( - a, 0) is equal to fc' [give a geometrical... | |
 | H.K. Dass & Rama Verma - Mathematics - 1032 pages
...22.6 1. Find the locus of a point which is equidistant from the points (1,0) and (- 1, 0). 2. Find the locus of a point which moves so that the sum of the squares of its distances from the points (2, 4) and (-3, -1) is 30. 3. A(2, 0) and 5(4, 0) are... | |
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Show that the locus of a point which moves so that the sum of its distances from two h'xed straight lines is constant is a straight line. 
