...in two distinct points then the line is called (a) Tangent line (b) Normal (c) Secant (d) None 11. A point moves so that the sum of the squares of its distances from the six faces of a cube is constant. The locus of this point is a (a) Circle (b) Sphere (c) Ellipse...

...y respectively. Show that the locus of its centre of the circle is дс* - уг = аг - Ьг. 25. A point moves so that the sum of the squares of its distances from the three points (x\, >¡), (ль, уг) and (дез, >з) is constant (= <f). Prove that the locus...

...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...

...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...

...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...

...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...

...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...