How do you find the equation of the locus of point P?
Find the locus of a point P such that its ordinate is equal to the abscissa. Hence required equation of the locus of point P is y = 5x + 9. Hence required equation of the locus of point P is x = 2y + 3.
What is the locus point?
In geometry, a locus (plural: loci) (Latin word for “place”, “location”) is a set of all points (commonly, a line, a line segment, a curve or a surface), whose location satisfies or is determined by one or more specified conditions.
Which of the following is the equation of locus of a point?
xy=a2.
What is locus of point?
The locus of points is defined as the set of points that satisfy certain properties. For example, a circle is a locus of points.
Which of the following is the equation of a locus of a point which moves in such a way?
How to find the equation of locus of a point?
Let P (x. y) be the point on the locus, Let O (0, 0) be the origin and A (3, -2) be the point Hence required equation of the locus is 24x² + 24y² – 150x + 100y + 325 = 0 Find the equation of locus of a point which is equidistant from the points (2, 3) and (-4, 5)
What is the locus of a circle?
For example, a circle is a locus of all the points in the plane which are equidistant from the point in the plane. Equation of Locus: The equation of locus is an equation which is satisfied by all the points satisfying given the geometrical condition in the problem
Why is the locus of P perpendicular to AB?
First of all, notice that every point on locus of P will be at equal distance from A (1,2) and B (3,4). So the locus will be perpendicular bisector of AB. Let us proove this now.
What is the locus of all points in a plane?
For instance a circle may be said to be the locus of all points in a plane that is a fixed distance from a fixed point. A straight line may be defined as the locusof all points in a plane equidistant from two fixed points. The method of expressing a set of conditions in analytical form gives an equation.