Second question: Let us have the line whose equation is L: X / 5 + 5 = y + 1 = z - 5 (1) Find the points of intersection of the line L with the coordinate planes (XY, XZ, YZ). (2) Find the distance from the origin to the line L

Q: ). makes equal intercepts on the axes and passes through the point (2,3). 5. passes through the…

A: (a) Let the equation of the line bexa+yb=1Since it makes equal intercepts on the coordinates axes,we…

Q: Show that the lines having the equations 4x – 3y + 12 = 0 and 8x – 6y + 15 = 0 are parallel.

A: According to question,Given equation of lines,4x - 3y +12 = 08x - 6y +15 =0

Q: i = (-1,-1, 7) + t (4, −8, 2), -∞ < t < ∞o.

A:

Q: Find three ordered pairs that satisfy the equation. y = x + 5

A:

Q: #3 Find the line equation(s) of the line(s) through point P(1, 0, 1) that meets the following line…

A: Given :  Given:P(1,0,1)L: x,y,x=1,2,0+t2,-1,2P0=1,2,0Aim: To find a line(s) through point P,…

Q: A change of variable, x = Py, is made to transform the original quadratic form into one with no…

A:

Q: Q1 a) Find the distance between the points A(-5, -6, 2) and the plane that includes the y-axis and…

A: Sol

Q: Find the slope of the line containing the points a) (a, 0) and (0, a). b) (a, 0) and (0, b).

A: Given, a) (a,0)and 0,a we know the formula for the slope of the line containing two points is,…

Q: To win at LOTTO in one state, one must correctly select 5 numbers from a collection of 49 numbers (1…

A:

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

A:

Q: 1) For three 2D points A (x1, y1), B (x2, y2) and C (x3, y3), how would you order these points…

A: Given: Three 2D points A(-1,0), B(-2,0) &amp; C(0,0) We have to order these points counterclockwise.…

Q: The intersection point of the line y = +2 and the x-axis is

A:

Q: The perpendicular distance from (5,3) to the line y+4x= 6

A: Line = y+4x-6 = 0 and point ( 5,3)We Know that the perpendicular distance d= ax + by +ca2+b2Where a…

Q: Find the point of intersection of the two lines l1 : 7 Intersection point:

A: Introduction: The point of intersection is the intersection of two lines or curves. A point is the…

Q: If the distance between the points R(a+b, b+c) and S(a +c, a +b) is (a – b), show that (a- c)(b-…

A: Given:- Distance between the points R(a + b, b+c)and S(a + c, a + b) is (a−b) To prove:- (a−c)(b −…

Q: Show that the straight lines whose direction cosines are given by the equations al + bm + cn = 0 and…

A:

Q: Q.I: (a) Find the equation of line that make angle 60° with y-axis and passes through (2, -1). (b)…

A: To solve a) equation of line.  b)to find intercepts.  c) Distance

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.