Cartesian equation of z-i=|z| is 1 -2 y° - 2y= - 1 y= y-2y= 1

Q: Find the parametric equations of the line that goes through the point P(−2, 0, 5) and is parallel to…

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Q: Consider the equation z = x² + y. (a) Describe the traces of the equation parallel to the xz-plane,…

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Q: For the lines: L1: x=2-4t, y= 5t, z=1+2t L2: x=-7-k, y=2+3k, z= 5+k Find the parametric equations of…

A: The line passing through the point (a,b,c) and parallel to z axis is  (a,b,c)+t(0,0,1)  That is ,…

Q: Find an equation for the plane through the points (5, −5, −7) and (14, −5, −9) and perpendicular to…

A: The given problem is to find the equation of plane that passes through the given points and…

Q: Write parametric equations for the line that passes through the point P ( 0 , 4 , 0 )  at time t = 0…

A: We know that the equation of the line passing through the points x1,y1,z1 and x2,y2,z2 is given by…

Q: Where does the line with parametric equations −1+3t y = 2 - 2t 2 = 3+ t intersect the plane 3x + y -…

A: Given parametric equation of line x = -1 + 3t y = 2 - 2t z = 3 + t Given plane 3x + y - 4z = -4

Q: If the xy-coordinate axes are rotated , find the XY-coordinates of the point (x,y) = (4,5

A: The new coordinates (X, Y) of a point (x, y) can be found using the following rotation…

Q: How do you find the parametric and symmetric equation of the line passing through the point (3, 2,…

A: We have to find the parametric and symmetric form of the line perpendicular to the given plane at a…

Q: Write the Cartesian equation of the line given by the parametric equations æ(t) y(t) z(t) 5 – 4t -1-…

A: Givenx(t)=5-4ty(t)=-1-6tz(t)=6tIt means thatx-5-4=ty+1-6=tz-06=tcan also be written…

Q: Find a Cartesian equation for r = 3t – 1, y = 4t + 2.

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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.