Concept: Three - Dimensional Geometry - Coordinate Axes and Coordinate planes. $\begingroup$ Welcome to Math.SE! If you're posing a challenge whose answer you already know, say so explicitly in the body of the question (as comments are easily overlooked); the predominant assumption here is that a question is a request for help, so it's important to indicate when this isn't the case. A locus is a set of points which satisfy certain geometric conditions. Hence, the locus of a point for which y = 0, z = 0 is x - axis. Magnitude Condition: Further for the magnitude condition, the magnitude of both RHS and LHS must be equated for the equation G(s)H(s) = -1. Let us place all points where each point is equidistant from A and B. What is the locus of points that is symmetric points of A(1,3) according to the line y = mx + 2? If so, make sure to like, comment, Share and Subscribe! For more Information & Topic wise videos visit: www.impetusgurukul.com I hope you enjoyed this video. The plural of the locus is loci.The area of the loci is called the region.The word locus is derived from the word location. The locus of points is a curve or a line in two-dimensional geometry. 12 + y - 4y +2 = 0 12 + y2 - 2x - 4y = 0 Od r+ y - 2 y + 2 = 0 NO be 12 + y - y - 4 = 0 We know that on x - axis both y = 0, z = 0. The parabola is the locus of points in that plane that are equidistant from both the directrix and the focus. What is the locus of a point for which y = 0, z = 0? That means the calculated angle of G(s)H(s) at a point should be an odd multiple of ±180°. A locus is a set of points that meet a given condition. This signifies to be present on the root locus, the point must necessarily satisfy the angle condition. The definition of a circle locus of points a given distance from a given point in a 2-dimensional plane. Recall that the modulus represents the distance of a point from the origin. Let us find the locus of all the points that are equidistant from A and B. The given distance is the radius and the given point is the center of the circle.In 3-dimensions (space), we would define a sphere as the set of points in space a given distance from a given point. Оа 2 + y2 - 4x + 2 = 0 Ob. For example, given the point = 6 5 + 8 5, we can calculate the modulus as follows: | | = 6 5 + 8 5 = √ 4 = 2. Another description of a parabola is as a conic section, created from the intersection of a right circular conical surface and a plane parallel to another plane that is tangential to the conical surface. Consider a line segment \(\overline{AB}\). A point moves in a plane so that its distances PA and PB from two fixed points A and B in the plane satisfy the relation PA-PB=k(k = 0), then the locus of P is View solution Through a fixed point ( h , k ) secants are drawn to the circle x 2 + y 2 = r 2 . Hence, A locus is a set of points, in geometry, which satisfies a given condition or situation for a shape or a figure. Example. 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