Which of the following is the equation of the plane that is passing through the point P(2, 2,-2) and vertical to the line of intersection of the planes X – 2y + 3z =3 and x+y+z=2 ? (a) -5x +2y +3z=-12 (b) -4x + y + 3z=-12 (c) –5x+2y+32 =-10 (d) -4x-2y+3z=-18 (e) -4x+y+3z=-10

Q: Find the equation of the plane through (-1,4,2) and containing the line of intersection of the…

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Q: Find a line equation through the point P(3,-1,4) and parallel to the line of intersection of the…

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Q: 2-) Find the Symmetric form of the equation of the line of in tersection of the two Planes X- +Z =2,…

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Q: Q2: Find the equation of the plane that pass through the point P(-1,4,2) and containing the line of…

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Q: Of all the points on the graph of z = 10 - x^2 - y^2 that lie above the plane x + 2y + 3z = 0, what…

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Q: Find an equation of the plane containing the point (3,0,-4) and perpendicular to the line r(t)=…

A: A detailed solution is given below

Q: -1 and Determine an equation of the line of intersection of the planes 2x – y + 3z x + 4y – z = 2

A: I

Q: Which of the following is the equation of the plane where x-2y + 32 = 3 and x+y+z=2 and passes from…

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Q: 2 2. Find an equation of the plane containing the point P(0, -) and the line determined by the two…

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Q: Find the intersection of the planes r + 2y - 3z 1 and x -y+ z 1 two different

A: Given: equation of planes We need to find intersection of above two planes.

Q: 10) Find the equation of the line of the intersection of the planes 2x+3y+7z+2=0, x+2y-3z+5=0.

A: The given equation of planes are  2x + 3y + 7z + 2 = 0   ...... (1) x + 2y - 3z + 5 = 0   ...... (2)

Q: Which of the following is the equation of the plane that is passing through the point P(2, 2,–2) and…

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Q: The Cartesian equations of the line perpendicular to the plane 2x -3y + 4z + 8=0 and passing:…

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Q: 5. (a) Find an equation for the line of intersection between the planes r+3y-z = 2 and 2x – y+2z =…

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Q: Find an equation of a plane that passes through the points P(4,2,1), Q(-1,-2,2), R(3,1,-2) a.…

A: A plane that passes through the points P(4,2,1), Q(-1,-2,2), R(3,1,-2)

Q: The equation of the plane passing through A(2,1,-1), B(0,-2,0), and C(1,-1,2) is: None of these…

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Q: 4) Find the equation of the line of the intersection of the planes -2x+3y+7z+2=0, x+2y-3z+5=0.

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Q: Find an equation of the plane that passes through the point (-1, 4, 2) and contains the line of the…

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Q: find the equation of the plane passing through(1,0,-1)&(-1,2,1) and parallel to the line of…

A: To determine: The equation of the plane passing through the points (1, 0, -1) and (-1, 2, 1) and…

Q: If Ax+By+5z=C is an equation for the plane containing the point (0,0,1) and the line x-1=, z=-23,…

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Q: Find the equation of the plane that passes through the points (-2,0,-1) and through the line of…

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Q: Q7) The equation of the plane contains the points (3,2,1), (2,1,-1) and (-1,3,2) is 2x-9y-5z=16. * F

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Q: which of the following is the equation of the plane that is passing through the point P(2,2,-2) and…

A: Given P( 2, 2, -2) and planes  x+2y-3z=3 and x+y+z=2

Q: Which of the following is the intersection point of the plane 5x-2y-3z=0 and X = 5-t the line y =…

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Q: Find the point of intersection of the line x-9 = - 5t, y +1= -t, and the plane 2x – 3y + 4z + 7 =0-…

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Q: If the image of the point (1 -2 3) in the plane 2x+3y-z=7 is the point x, y, z then the value of…

A: Let's first understand the

Q: Which of the following is the equation of the plane that is passing through the point P(2, 2, –2)…

A: The equation of the plane passing through the points (x0 , y0 , z0) and perpendicular to a vector…

Q: Which of the following is the equation of the plane that is passing through the point P(2, 2,–2) and…

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Q: (a) Find an equation for the line of intersection between the planes z+3y-z = 2 and 2x –y+2z = 5.…

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Q: Give the general equation of the plane containing the point (3,-1,4) and x 2-2 perpendicular to the…

A: The given equation of the linex2=y=2-z-3which can be written asx-02=y-01=z-23.The given point is…

Q: 4) Find the equation of the line of the intersection of the planes -2xr+3y+7z+2=0, x+2y-3z+5=0.

A: We have two equations in three variables. To find the line of intersection of these planes, we fix…

Q: Find an equation of the plane that passes through the point (-1, 4, 2) and contains the line of the…

A: Given data: Intersecting planes are, 4x-y+z-2=02x+y-2z-3=0 Point, x,y,z=-1,4,2

Q: ) Find the equation of the plane passes through the point P(2, 2, 3) and perpendicular to the two…

A: To find the equation of the plane that passes through the point P (2, 2, 3) and perpendicular to the…

Q: Which of the following is the equation of the plane that is passing through the point P(2, 2,-2) and…

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Q: Find an equation for the plane which contains the point P(2,1,-3) and intersection line of the…

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Q: Which of the following is the equation of the plane that is passing through the point P(2, 2,–2) and…

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Q: Find the equation of the plane contains the line X+1/2 = Y/3 = Z-1/4 and the line of intersection of…

A: We have given the line of intersection of planes; x + 2y - 2z = 6 , 5x - 2y - z = 0 and line; X+1/2…

Q: Find an equation of the plane that passes through P(4, 2, – 3) and is perpendicular to the line x+1…

A: Given that the plane is passes through the point (4,2,-3) and perpendicular to line x+1-3=y-12=z2

Q: Find an equation of the plane containing the point (3,0.-4) and perpendicular to the line r(t)=…

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Q: Find an equation of the plane that passes through the point (-1, 4, 2) and contains the line of the…

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Q: what is the equation of the plane perpendicular to the intersection line of the x-2y+2z= 3  and…

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Q: The equation of the plane that passing through the point A(-3, 0, 1) and perpendicular to n= (1, -2,…

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Q: 2. Find the equation of the line that is parallel to the intersection of planes 12, 2x-8y + z = 0…

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Q: find the equation of the plane passing through (1,0,-1)&(-1,2,1) and parallel to the line of…

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Q: Which of the following is the equation of the plane that is passing through the point P(2, 2,-2) and…

A: To find the equation of the plane passing through the point P 2,2-2 and vertical to the line of…

Q: x- 2y+3z = 3 and x+y+z=2 Which is the equation for the plane passing through the point P (2,2, -2)…

A: Given equation of planes  x-2y+3z=3  ………1x+y+z=2    ……2 And the required plane is perpendicular to…

Q: Find a plane containing the point (2,-1,3) and the line of intersection of the planes 5x + 7y – 6z =…

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Q: Find an equation of the plane that passes through the point (-1, 4, 2) and contains the line of the…

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Q: Which of the following are symmetric equations for the line of intersection of the planes 2x+y+−6z=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.