1. The slope of a line passing through the origin and perpendicular to the line x - 4y + n = 0. a) 4 c) 4 d)- 4 b) 4

Q: In the accompanying diagram, trans- versal RS intersects parallel lines +> XY and WZ at E and H,…

A: Given: RS is transversal line that means it intersects two parallel lines (XY and WZ). Therefore…

Q: Show that the product of the perpendicular distances from the origin to the pair of lel la-b) + 4h?…

A:

Q: Find paromet ric aquation of Line L where to paiut A(Xmiya) is and

A:

Q: If C is the line segment connecting the point (a1, b1) to the point (a2, b2), show that 3r dy – 3y…

A:

Q: 5. Construct a copy of the line segment below. U V

A: To construct a linesegment by copying using a compass

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: When is the line ax+ by = c parallel to the y-axis? To the x-axis?

A: ax+by+c=0        When a=0, then the line equation becomes               bx+c=0…

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…

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Q: Evaluate a?y x²y ds where C is the line segment from (0, 1) to (2,2).

A:

Q: What value of x would prove that lines /and mare parallel? (8x-31) (5y+35) (6x+3) 217 O 28 014

A: Given, l||mTo find: magnitude of x

Q: Which of the following is the correct definition for perpendicular lines? O Lines that intersect and…

A:

Q: 2. Evaluate . 3x – 6y ds for C is the line segment from (6,0) to (6,6).

A: Let C be a piecewise smooth curve defined by, Let P and Q be two continuous functions of x and y…

Q: B. Find the distance between the point (1. 1.3) and the line =z-3) OMI NOTL

A:

Q: Construct a line perpendicular to the line given through the point P at the right.

A: To plot the line perpendicular to the given line through the point P

Q: What value of x would prove that lines /and m are parallel?

A: Given that lines m and l are parallel.

Q: 15. Find the angle between the straight lines I, and l, which are defined by x-2 y+1 =1-z. 4:x=1+2t,…

A: The angle is, 85.75°  The detailed solution is as follows below:

Q: 2. Draw a line that is perpendicular to segment XY with point A, not on the segment A.

A: Solution

Q: Based on the trapezoid shown in the standard (x, y) coordinate plane above, what is the slope of the…

A: Here ABCD is a trapezoid and AB parallel BC which also parallel to the X axis

Q: Construct with Hilbert's tools a line perpendicular to a given line l at a given point A e l (par =…

A: Create a random point on the line l as B Create a circle with center A and radius AB=5 Create a…

Q: Two straight lines 3x – 2 y + 5 = 0 and 6x – 4y + 10 = 0 intersect at the origin. are coincident.…

A:

Q: Show that the pair of bisectors of the angles between the straight lines (ax+by)2=c(bx-ay)2, c>0 are…

A: TO  PROVE-  The pair of bisectors of the angles between the straight lines   (ax+ by)2 = c( bx-ay)2,…

Q: Show that the midpoint of the line segment joining the points (a, b) and (c,d) is ((a + c)/2, (b +…

A: Mid point formula is:

Q: Complete the justification of the construction of the line perpendicular to a given line at a point…

A: Given that, m is a line and PS↔ is another line intersecting the line m at point P. And, also given…

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: 9. Are the lines parallel, perpendicular or neither. Show work. 4. y3-x+2 3 3x+4y = 4 %3D

A:

Q: Evaluate ryz ds, where C is the line segment from (3, 0, 1) to (0, 2, 5).

A: Given function is ∫Cxyz ds Given points are r1=3,0,1 and r2=0,2,5 We can write the given points in…

Q: 7. Which characteristics will NOT prove that quadrilateral PQRS, drawn in a coordinate plane, is a…

A: Given, Parallelogram PQRS Solution :D  In option D we have given the only  length are equal which…

Q: Show that -ydx+xdy) = x₁y₂-₂₁ where C is the line segment joining (x,y) and (x₂,₂).

A: We have to prove ∫C-ydx+xdy=x1y2-x2y1 Where C is the line segment joining x1,y1 and x2,y2 Now…

Q: 3. Evaluate ryde where C is the line sogment from (0,1) to (2, 2).

A:

Q: By using the calculus of variations, prove that the shortest distance between two points in the y z…

A: The functionals with in the calculus of variations are of the form V[f(x)]=∫abF(x,y(x),y'(x))dx The…

Q: Find the value of z that makes lines u and v parallel. 85° 12x+ 1

A:

Q: 9) 8. 17 Find the measure of the line tangent.

A: Given figure is intersecting secant.

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: We have learned how to "drop a perpendicular" from a point to a line using our unruled straightedge…

A:

Q: Given that point P does not lie on line €, construct the line through point P that is parallel to…

A: Given:Point…

Q: In triangular space it is sufficient to know two different points to find the line passing through…

A: Given statement is 'True'

Q: There are 8 points in a plane, and no three points are collinear. These 8 points, taken 2 at a time,…

A: Combination: The possible number of ways to select r items from the total n items is given by:…

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: The lines joining the origin to the point of intersection of the line lx+my=1 and y²=4ax are at…

A:

Q: 1. Given that line m is the perpendicular bisector öf 14/15 FH and EH = 100, find EF. H,

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 2. Find the distance between the parallel lines: L: 2x- 5 y + 3 = 0 ; (Hint: It suffices to compute…

A: Consider the given equations of the lines, L1: 2x-5y+3=0 and L2: 2x-5y+7=0 The formula of the…

Q: 7. Given that M4,6) is the mid-point of the line segment joining C(2, -3) and D, find the…

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

Q: Two parallel straight lines are AB and CD and the line PQ intersects AB and CD at E and F…

A: Given that: Two parallel straight lines AB and CD are intersected by line PQ at E and F…

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

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

A:

Q: 13- Find the eqation of the line that passes through A(1,2,1) and intersects the line 끌=D글3D a righ…

A:

Q: By using the calculus of variations, prove that the shortest distance between two points in the y z…

A:

Q: is this true or false......When lines  m  and  n  intersect at point  P  , it follows that   m ∩ n…

A: This is true: in Euclidean geometry/plane. if two lines m,n intersect at a point P ,then m…

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.