 | Jain, P.K. - Geometry, Analytic - 1986 - 378 pages
...Find the centre and the radius of the circle 2(x*+y*)+6x-7y=0. 3. Show that the locus of a point such that the sum of the squares of its distances from two fixed points is constant, is a circle. 4. Show that the locus of a point such that the ratio of its distances from... | |
 | 444 pages
...hypercone from the origin. Exercises 1. Let A and B be two given points of .F.space. A variable point X moves so that the sum of the squares of its distances from A and B is unity. Show that the locus of X does not exist if (A - B)2 > 2, and that if (A - B)2 < 2... | |
 | 288 pages
...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 Topics: 9.1.1 Introduction... | |
 | 512 pages
...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 Topics: 16.1.1 Introduction 16.1.2... | |
 | 882 pages
...the required locus. Solution i 378 ISC MATHEMATICS • Example 5 : Find the locus of a point which moves so that the sum of the squares of its distances from the two points (1,0) and (-1, 0) is 10. Solution Let A and B be the points (1,0) and (- 1,0). Let P... | |
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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. 
