A line of length 2a has its extremities on two fixed perpendicular lines. Find the locus of the foot of the perpendicular from the intersection of the fixed lines to a given line.

Q: A straight trail with a uniform inclination of 12" leads from a lodge at an elevation of 1000 feet…

A: This question can be solved using the concept of trigonometry.

Q: In addition to being able to show that the lines are parallel using their only a writing tool,…

A: parallel line never intersect each other

Q: Consider noncollinear points A, B, and C. If each line must contain two of the points, what is the…

A: Given- Three noncollinear points A,B and C. If each line must contain two of the points . To find-…

Q: 7. Three teammates from a local soccer club are practicing passing in triangular pattern as shown in…

A: It is given that three players AB and C are playing in such a manner to form right angle triangle…

Q: Given that the standard from of a line is Ax +By =Upper C Upper B not equals 0 what is the slope of…

A: The given equation of straight line is

Q: Find the envelope of the family of straight lines, which together with the line segments intercepted…

A:

Q: If a slide, a tetherball, and a swing are all 20 feet apart in a park, where could a water fountain…

A: Explanation: Here a slide. a tetherball, and a swing are all 20 feet apart in a park. Locus of the…

Q: 2. Prove that the line joining the midpoint of a median to a vertex of the triangle trisects the…

A:

Q: If a four sided figure is drawn on a coordinate plane and just one pair of adjacent sides has the…

A:

Q: Prove: In the five-point geometry, each point has exactly four lines on it.

A:

Q: Prove that if two lines are each perpendicular to a third line in the plane, then the two lines are…

A: Let slope of two lines are m1 and m2 and slope of third line is m3 . Now, as both lines are…

Q: What is the locus of points in your classroom that are 1 m from the floor?

A: The given information is "The locus of the points one meter from the floor" The below figure shows…

Q: Construct a line parallel to a given line through a given external point. *

A: To draw a line parallel to the given line from the external point v.

Q: Draw two parallel lines m and n. Then place two points R and 5 so that the locus of points…

A: Two parallel lines m and m.Two parallel lines m and m are given In this only one point will be on…

Q: If the straight lines are coplaner then they are?

A:

Q: consider noncollinear points A, B, and C. If each line must contain two of the points, what is the…

A: Given:The noncollinear points A, B, and C.

Q: The endpoints of directed line segment PQ have coordinates of P(-7,–5) and Q(5,3). What are the…

A: Given:

Q: If line PQ and line RS are different names for the same line, what must be true about points P, Q,…

A: Colinear points problem...

Q: What kind of line is being constructed in this series of diagrams?   parallel perpendicular…

A:

Q: Prove that for each point the are at least two straight lines that pass through it, accordir to the…

A: There is a point and we have to show that 2 or more lines can pass from that point.

Q: What is the locus of points in space equidistant from two parallel planes?

A: Locus: If the two lines are in Rn the points equidistant from them form an n−1 dimensional…

Q: Suppose a line that appears parallel to side BC of ΔABC intersects sides AB and AC at points C and Y…

A: Suppose a line that appears parallel to side BC of ΔABC intersects sides AB and AC at points X and Y…

Q: A line with slope m passes through points (p, q) and (r, ?_).

A: The complete statement: A line with slope m passes through points p,q & r, ?

Q: What is the egualion of Hhe line over the intereval (5, ] ? What would the exact value of the…

A: Given Points (-5,-3), (-2,4) through which the required line passes.

Q: construct a line that goes through point A and is perpendicular to a line.

A:

Q: We are given 17 points inside a regular triangle of side length one. Prove that there are two points…

A: We use Pigeonhole Principle to solve this which states that if n items are put into m containers…

Q: Prove that a line cannot contain three distinct points.

A: We prove that a line cannot contain three distinct points by method of contradiction.

Q: Consider any eight points such that no three are collinear.How many lines are determined?

A: Given :                         There are 8 points    To find :                      To…

Q: Consider points A, B, C, and D, no three of which are collin- ear. Using two points at a time (such…

A: Given information: A, B, C and D are four points in which no three points are collinear.…

Q: prove that there are exactly two lines parallel to a given line in Pappus' geometry

A:

Q: Line l is an auxiliary line parallel to m

A:

Q: Construct the line through C parallel to AB. A

A: The given triangle is △ABC. To draw a line passing through C and parallel to AB, Scribe an…

Q: Construct a line parallel to a given line through a given external point. * R A

A:

Q: Sketch the locus of points equidistant from D and E is the perpendicular bisector of line DE

A: Consider the line DE which is obtained by joining two point D and E. To sketch the locus of points,…

Q: For a four-point geometry, how many other lines of the geometry are parallel to each line?

A:

Q: For Fano's geometry, prove that the lines through any one point of the geometry contain all the…

A: Given detail: For Fano's geometry, prove that the lines through any one point of the geometry…

Q: Construct perpendicular lines from point P to line m. 1. VE

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: the midpoint of the perpendicular distance between two chords of a given circle is the center of the…

A: Given query is to find statement is true or false.

Q: Prove that, if two lines are parallel to a third line, then the lines are parallel to each other

A: Consider the following figure.

Q: The students in Ms. Logan’s class were asked to construct a line perpendicular to line through point…

A:

Q: If a slide, a tetherball, and a swing are all 20 feet apart in a park, where could a water fountain…

A:

Q: It is a subset of a line that has only one endpoint and is extended endlessly in one direction.a.…

A: We know that Line has two endless direction means we can extend the line infinitely from both sides…

Q: Prove that the line joining the midpoint of a median to a vertex of the triangle trisects the side…

A: Here ask to prove the line joining the midpoint of a median to a vertex of the triangle trisectsthe…

Q: Suppose a line that appears parallel to side BC of △ABC intersects sides AB and AC at points X and Y…

A:

Q: If a transversal is perpendicular to one of two parallel lines, then it's to the other line.

A:

Q: Suppose that L is a line through the points (a, 2, c) and (3, –4, 2) that is parallel to one of the…

A: Given that: L is a line passing through (a,2,c) and (3, -4, 2) and parallel to one of the axes.

Q: A land surveyor places two stakes 500 ft apart and locates the midpoint between the stakes. From the…

A: Given that, A land surveyor places two stakes 500 ft apart and locates the midpoint between the…

Q: george noticed when that pair of paralell lines was cut by a transversal, a certain pair of adjacent…

A: We have to find the conclusion when pair of parallel lines are cut by a transversal and a certain…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.