Let us have the line that is its equatHon 3 -4-5=7+2 2 (A Find The Paints of ntersectian ok straight line L with Singte levels (XYAZ,YZ) (2) Find the Point of origin from the line

Q: An ant is walking on the xy-plane is such a way that its distance to the point (2, 4) is always the…

A: Solution: Let the point P(x,y) is the position of Ant and given that the distance from P(x,y) to…

Q: the sloper of the curve 2y2=ax2+b at (1,-1) is -1.Find a,b

A: 1) Find dydx at the given points to find the value of 'a' . 2) Now satisfy the point (1,-1) to the…

Q: Find the distance from the point (3,-1, 4) to the line z -2+3t, y = -2t, z = 1+ 4t.

A:

Q: 2. Find y in terms of x if = 6x² – 2x and the curve passes through the point (1, 5). -

A: We have to find the value of x if dydx=6x2-2x and the curve passes through the point (1,5).…

Q: What are the directing cosines of the line whose symmetric is (x + 2)/ - 1= (y-3)/ 2 = (z + 4)/ 6

A:

Q: How find the pistance from fant (1,3) and Line y -4

A:

Q: the valu e of x which WTLL PULH containing the poidts (x, 5) 9nd (-2,3) paraliel make the line line…

A: The slope of the line containing the points (x,5) and (-2,3) is = (5-3)/(x+2) = 2/(x+2) And, the…

Q: Verify that the two families of curves are orthogonal, where C and K are real numbers. Use a…

A: Given  The two families of curves are x2 + y2 = C2 , y = Kx  , where C and K are real numbers.

Q: 2. Find the equation of the line that is perpendicular to 6x – 4y = 8, which passes through the…

A: Use equation of perpendicular line

Q: The equation of the line tangnet to the graph of 24e^x at x=2?

A: Find the derivative of the given function.

Q: Let A be the point with coordinates (-3, 2, -1) and let B be the point with coordinates (2, 0, 0).…

A:

Q: Find the equation of the line in standard form (i.e., y = mx + b) that conatins the point (-3,5) and…

A: We have to find the equation of line in standard form if it is passing through the point -3, 5 and…

Q: What is an equation of the line that passes through the point (–6, –6) and is paralle to the line x…

A:

Q: Consider the line L with that goes through the points (1,−9) and (−12,−1)   Write the equation of…

A:

Q: An offshore oil well is located in the ocean at a point W, which is 5km from the closest shore-point…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: Suppose that P is twice as far from (0, 0) as P is from (6, 0 Find such a point on the x-axis.

A: Let A0,0 and B6,0. It is given that P is twice as far from A0,0 as from B6,0. We know that if point…

Q: Suppose L, is the line through the origin in the direction of u and L2 is the line through the point…

A: For first line L1, the line passes via origin, i.e., 000 and the line is parallel to u=110, so, the…

Q: A hiker is lost in the forest, but has his cell phone with a weak signal. Cell phones with GPS can…

A: Consider the following figure: Point A and B represents tower A and B respectively. Point C…

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

A:

Q: Find the distance between the point (−3, 1) and the line 4x + 3y + 4 = 0.

A: Given standard equation of line 4x+3y+4=0 and a point (-3,1)

Q: Find the distance between the point (-1, 5, 3) and the line given by x = 5 + t, y = 1 - 2t, and z =…

A:

Q: The distance between point (1,1,5) and the line x=1+t,y=3-t ,z=2t is:

A: Find the distance between point (1,1,5) and the line x=1+t,y=3-t ,z=2t.

Q: XIV. Give equation of straight line through point (1,3,-2) perpendicular to z = Зх-2y +4.

A: Given z=3x−2y+4 and point is x0,y0,z0=1,3,−2 We have to find the equation of straight line through…

Q: Find k so that the line through (-3,5) and (k,8) is a) parallel to 5y-3x 8; b) perpendicular to 3y +…

A:

Q: an equation for line L in point-s erpendicular to y 5x. 6Ty=5x (1,5) 2- -4 -2 4 6 2.

A: We will solve the problem

Q: 17. Passes through the point (2, 1) and is perpendicular to y = -x+ 3.

A:

Q: What is the length of the curve y3/2+4 from the point (1,5) to (4,12)?

A: To find: The length of the curve y3/2+4 from the point (1,5) to (4,12).

Q: What are the coordinates of the points in the graph of y2-x²+6x – 13=0 in which the tangent line is…

A: To find the points at which tangent line is horizontal , y' =0.

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: Find the equation of the Mane that contains the line 3X - 2:2 = - 39 = 7-7 and that is Para llel to…

A: When the plane is parallel to the line x-y+z=2: Here n1→=i^-j^+k^ and a→=2i^+3j^+k^ To find…

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: The slope of the curve 2y = ax + b at (1,-1)is -1.Find a, b.

A:

Q: [a] Find the shortest distance from the point (2, -1, 4) to the straight line x = 2, y = 3+tand z =…

A:

Q: Find an ewuation for the line with the given properties. Express answer in general form or slope…

A: Recall: Point- slope intercept form : (y-y1)=m(x-x1) ; where 'm' is the slope and (x1,y1) given…

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

A: This question is based on straight line intersection.

Q: 2)What line is perpendicular to 2x + y = 3 at (1,1)?

A: What line is perpendicular to 2x+y=3 at (1,1)?

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: 9. Reflect the point (3, 2) over the following axes or lines. Reflection Over New Coordinates x -…

A: Definition used -                    Reflection of a point over the x-axis -…

Q: The curve y=ax²+bx+c passes through the point (2,28) and is tangent to the line y=4x at the origin.…

A: Given, y=ax2+bx+c

Q: The 3 lines x = 3, y – 2.5 = --(x – 0.5), and y – 2.5 = x – 3.5 intersect at point P. Find the…

A:

Q: Which is a subset of a line with one endpoint and extends infinitely in one direction?

A: A ray is a subset of a line that has only one endpoint and extends infinitely in one direction  If…

Q: 3. The equation showing a family of lines passing through the point (1, -1) is given by * у%3D тх —…

A: Given a point(1,-1). We need to find the equation of  a line passing through the given point.

Q: Show that the locus of the point whose distance from Y-axis is thrice it's distance from (1,2,-1) is…

A:

Q: A line that is normal to the curve x^2+3xy-4y^2=0 at (6,6) intersects the curve at what other point?

A:

Q: The y-axis and the line x = c are the banks of a river whose current has uniform speed a in the…

A:

Q: Find the distance between the point (-1, 3, 5) and the line given by x = 3 + t, y = 1- 2t, and z =…

A:

Q: 1. The midpoint of points A and B is given to be (-,–1). Suppose two lines l1 and lz are…

A:

Q: 4. Find the member of the curve whose slope at any point is 4y point (3, 4) and passes through the

A: Note: As they are different questions, as per our company guidelines we are supposed to answer the…

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.