3. Find the line that passes through the point P(1,2) and the point of intersection of two the lines L1: x +2y = 3 and L2: 2x - 3y =-1.

Q: 2. Find the equation of the line that passes through the points of intersection of the curves y“ = x…

A: We plug x=y2 in…

Q: The distance from the point P(3, 1,0) and the line x = 3 – 6t y =1+ 3t z = 7t equals to Answer:

A:

Q: 5- Find the Line that passes through the point (l,2) and througgh the point of inter Section of the…

A: In this question given that point (1,2). And two lines x +2y = 3 and 2x -3y = -1. And we find that…

Q: Q10)The two lines L1: x=3-2t, y=4+t ,z= 6-t and L2: x=5-4t, .y=-2+2t, z=7-2t are parallel

A: 10) The equation of the line x=3-2t t=x-3-2 y=4+t t=y-4 z=6-t t=z-6-1

Q: b. Enclosed by the curves y² = 4x + 4 and the line y = 4x – 16.

A:

Q: 7. : Find the point of intersection of the two lines L: 3x - 4y = 2 M: x +2y = 4 Graph the lines.

A: 7.The given lines,      L: 3x-4y=2     M: x+2y=4 Note:   In question 6, Dan receiving amount…

Q: e 5y=-6x +

A: we have to find the equation of line that is perpendicular to the line 5y=-6x + 2.

Q: Find the line L, that passes through the point P(1,2) and parallel to the line L2: x+2y=3.

A: Given data is: The equation of the line L2: x+2y=3 To find the equation of the line L1 that passes…

Q: (B.) Determined by the intersecting lines L1 and L2 L1 : {x = 2t, y= 4- t, z = 3 +t}and L2:{x = 2 +…

A: According to guidelines we solve one question. thanku.

Q: 6. Find the intersection point of these two lines: x+y=1 and 6x+5y=15

A: Find the intersection point x+y=1   - - - - - - (i)  6x+5y=15   - - - - - - (ii) From the question…

Q: (1) What is the relationship between the lines L1 and L2? where ) L1:x = 1-t, y = 4 +t, z = 2+3t…

A:

Q: Find the point of intersection of the lines x = t, y = -t + 2, z = t + 1, and x = 2s + 2, y = s + 3,…

A: Answer

Q: Find the intersection point of the line l.x=-1. y = - 3 + t z = 4 + 2t with xx - 1 .

A: In xz plane value of y = 0.

Q: 6.) Find the equation of the line perpendicular to 2y – 8x = 24 which also passes through the point…

A: Concept : The product of the slope of the two perpendicular line is -1 Given, the equation of the…

Q: 3. Show that the lines L1 : x = 2+t, y= 2+3t, z = 3+t and L2:1 = 2+t, y= 3+ 4t, z = 4 + 2t…

A: L1: x =2+t , y= 2+3t , z= 3+t  L2: x =2+t , y= 3+4t , z= 3+t

Q: nded by the curve y2=4x and the lines x = 1 and x = 4.

A:

Q: Q)Suppose that one line is parallel y=13x+ 13 and passes through (15,7). Where does that line cross…

A: Given :  y=13x+ 13  compare with y = mx + c slope m = 13

Q: - For what value of k will the line kx + 5y = 2k be perpendicular to the line 2x - 3-y = 1?

A:

Q: 1. Find the equation of the line passing through the point perpendicular to the line 5x + 3y = 5. 3…

A: Given equation of the line5x+3y=53y=-5x+5y=-53x+53 which is theform of y=mx+b whereslope of the line…

Q: 5. Evaluate - xy+3z)ds where C is the line starting at (1,1,1) and ending at (-1,-2,-3).

A:

Q: Find the distance between the point Q(3, −1, 4) and the line x = −2 + 3t, y = −2t, and z = 1 + 4t

A: To find the distance between the point Q(3, −1, 4) and the line x = −2 + 3t, y = −2t, and z = 1 +…

Q: the distance from the point P(2,3) to the line -3y=-4x is : * 1/5 - 1/5 غير معرفة 1/25 17/5

A:

Q: find value(s) of k so that the lines described by 3x = 2y+11 and kx = 40 - 6y are perpendicular

A:

Q: Find the point of intersection of the lines x = t, y = -t + 2, z = t + 1, and x 2s + 2, y = s + 3, z…

A: we have to find the point of intersection of the given lines

Q: 10. Find the equation of the line perpendicular to 3x - 2y = 6 and passing at a distance 5 units…

A:

Q: - For what value of k will the line kr + 5y = 2k be perpendicular to the line 2x - 3y = 1?

A:

Q: Thus, to find the slope of the secant line passing through P(2, 4) and Q(3, 3.), substitute x for x…

A: Topic:- Coordinate Geometry

Q: d the eqation of the line that passes through A(1,2,1) and intersects the line x+1 у-2 z+1 %3D at…

A: Topic:- geometry

Q: Find x'z ds, where C is the line segment from (0,2,-3) to (6,0,-6) C

A: To find:∫Cx2z dsThe line segment is from 0, 2, -3 to 6, 0, -6

Q: Find the line that passes through the point P(1,2) and the point of intersection of two the lines…

A: L1:x+2y=3 L2:2x-3y=-1

Q: The coordinates of a point on the line x+ y+1 = 0 which is at a distance /2 units from the line 3x +…

A: Given: The line x+y+1=0 which is at a distance 2 units from the line 3x+4y-2=0 To find: Coordinates…

Q: (1) What is the relationship between the lines L1 and L2? where L:x = 1-t, y = 4 + t, z = 2+3t L2:x…

A:

Q: Show that the distance between the line 3x 4y + 3 = 0 and the point (1, –1) is 2. |

A: In this question, we have to prove that the distance between line and point is 2.

Q: 2- The distance d from the point R=(1,4,-3) to the line L: x=2+t,y%3-1-t Z- 3t is 4.43 False True

A:

Q: 11. Find the equation of the line that is perpendicular to the line y-x+4 and passes through the…

A: The equation y=-12x+4 is of the form y=mx+c. Thus, slope -12.

Q: 12. For the two non-parallel straight lines L:2x- 5y+ 21 = 0 and L: 3x+y+6 = 0, find the coordinates…

A: Consider the following: Line-1:  2x−5y+21=0Line-2:     3x+y+6=0 At intersection point: L1=L2…

Q: Q2) find the distance between two lines L1: x= 1 +4t, y=5 - 4t, z=-1+5t L2: x=2 + 8t, y=4 - 3t, z-5…

A: Method 1:

Q: Consider the two lines L1 : x= -2t, y= 1+2t, z= 3t and  L2 : x= -5+s, y= 1+4s, z= 1+5s find the…

A:

Q: the

A: We will find the point.

Q: Find the line that passes through the point P(1.2) and the point of intersection of two lines x +2y…

A: Find the equation of a line that passes through the point P(1,2) and the point of intersection of…

Q: 8. Find a line uniquely parallel to the line 3x-4y+12=0.

A:

Q: 8+ (1,2) -8 y= 2x -8-

A:

Q: For what values of a and b is the line 4x+y=b4x+y=b tangent to the curve y=ax3y=ax3 when x=5x=5? a=…

A:

Q: 5. Find the line that passes through the point P(1.2) and the point of intersection of two lines x…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 4) Find the point in which the line through the origin perpendicular to the plan 2x - y -z = 4 meets…

A:

Q: Q1/The line joining origin and point of inter section of the lines (x = 1 + 2t, y = -3 + 4t, z %3D =…

A:

Q: 28. Why do the lines L: 5x + 2y - 3 = 0 and L2:-10x- 4y + 6 = 0 coincide?

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: The distance between the line x =-2+2t ,y=2t+1, z=2-t and the line x=3- 2t ,y=-2t+1,z=t is

A: Distance between two Parallel Lines we calculate as a distance between intersection of the lines and…

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.