QUESTION 4 Determine if the three planes -x-5y-5z =2, 4x-5y+4z = 19 and x +5y-z = - 20 have an intersection point. If so, find the point of intersection. Attach File Browse My Computer Browse Content Collection Browse Dropbox

Q: Find the equation of the Hyperbola whose Foci are at (6,4) and ( 30,4),and the length of its…

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Q: Find an equation of the plane through (-1, 2, -5) and perpendicular to the planes 2x- y+z = 1 and…

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Q: The axes of the rectangular coordinate system divide the plane into regions, called these regions.…

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Q: If the center of a hyperbola with a horizontal transverse axis is (2, 3) and a² = 25, then the…

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Q: Question 6. Find an equation for the plane which satisfies the given conditions. 1. Passes through…

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Q: Question 3. Find the point of intersection of the lines ix=--1-t, and then find the plane determined…

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Q: Question 1: Determine if the two planes 6x + 18y + 14z = -2 and the plane containing the points (1,…

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Q: Find an equation of the plane passing through the given points. (a) (0, 1, 2), (3, −2, 5), (2, 3, 4)…

A: I will Solve (a) for you,   Given Points are, A=(0,1,2) B=(3,-2,5) C=(2,3,4) We have to find the…

Q: Question 8 (2 marks) The graph of (=) + (2) + (-) = 1 is a plane for any nonzero numbers a, b, and…

A: Solution

Q: The equation of the plane

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Q: Find an equation of a plane containing the three points (-3, -1, 1), (-4, -6, 0), (-4, -5, 2) in…

A: This question is related to equation of plane, We will solve it using given information.

Q: 4. Consider the points A(1, 0, 3), B(-1, 5, 2) and C(3, -1, 1). Find the equation of the plane…

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Q: In each part, name the conic section described. (a) The set of points whose distance to the point…

A: To Determine:  In each part, name the conic section described.(a) The set of points whose distance…

Q: Find the equation of a plane passing through ?(2,1,3), ?(3, −1,5), and ?(1,2, −3)

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Q: Question 2. Find the equation of the plane passing through the points (0, 1,0), (2, 1, 4), and…

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Q: An implicit equation for the plane passing through the points (2,0,−2), (7,−3,−2), and (7,2,3)…

A: Given: A plane is passing through the points 2,0,-2,7,-3,-2,7,2,3. The implicit equation equation…

Q: Perpendicular to i = 2ỉ - 33 + 5k and through (4, 5, –2).

A: Here is the solution of the given problem. Co-ordinate Geometry 3D - Plane.

Q: Find the equation of the plane passing through the points a. (-4,-1,-1); (-2,0,1); (-1,-2,-3) b.…

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Q: Find an equation of the plane containing the following two lines. х-5 у-4 _2-5 -1 3 -2 х-1 y-3 z-2…

A: The general equation of a plane is ax+by+cz=d where a,b,c are direction ratios(DR) of the plane.

Q: Find an equation of the plane indicated in the figure. 4 Equation: Y 4 4

A: Equation of plane contains following points, (4,0,0), (0,4,0), (0, 4,4) and (4,0,4)

Q: Find the equation of the plane that passes through the points (3, -2, 2), (-9, 2, 4) and (-6, -4,…

A: Given: The equation of the plane passes through the point 3,-2,2,-9,2,4 and -6,-4,6.

Q: Find an equation of a plane containing the three points (-5, 4, 3), (-6, 1, 6), (-6, 2, 8) in which…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Question 5, Find points of intersection of the plane 3x + 4u - 7- 24 = 0 with the axes.

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Q: Question 19 An equation of the line passing through the points P(2,3)P(2,3) and Q(3,8)Q(3,8) in the…

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Q: Find an equation of the plane passing through the given points. (3, 9, -9), (3, -9, 9), (-3, -9, -9)

A: Here given that three point.. So first wrote the standard equation of plane.. Then find a, b, c…

Q: ) Find the equation of the plane containing the following 3 points. (-1,2, –3), (4,0,9), (-3, 1,7)

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Q: Find an equation of the plane indicated in the figure. Equation:

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Q: The equation of the plane that contains the three points (0, 4, 4), (4, 0, 4), and (4, 4, 1) is

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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: 4 - Find an equation of the Planc perpendicular to each of the planes X-y +2=0 and 2x ty - 4z -5 =0…

A: A detailed solution is given below

Q: ind an equation of the plane passing through the given points. (3, 1, 12), (1, -3, 18), (2, -2, 16)

A: Given points are (3, 1, 12), (1, -3, 18)  and  (2, -2, 16)

Q: Find the equations of planes passing through point (a,0,0) if these planes intersect one-sheet…

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Q: The graph of (=) + ) + (-) = 1 is a plane for any nonzero numbers a, b, and c. Which planes have an…

A: We have the following information about the given equation.

Q: Find the equation of a plane passing through points (3,2,2), (1,0,-1) and parallel to the line…

A: Equation of plane is calculated as below:

Q: Ex.2/ Find an equation for the plane through A(-1,1,2), B(2,0,1) and С2,-3,3)

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Q: If the center of a hyperbola with a horizontal transverse axis is (2, 3) and a2 = 25, then the…

A: Center of the hyperbola is, h, k=2, 3⇒h=2  &  k=3&a2=25⇒a=5 Therefore vertices are, h-a, k…

Q: Consider the three points R coordinates [0,1,0. [-1,0,-2). and [-2,2, –3] . Which equation of the…

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Q: Find an equation of the plane that passes through the point (18, -16, 9) and contains the line given…

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Q: Question 10 Find equations for the planes: a) Passes through P(1,–1,–3) parallel to the plane 3x + y…

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Q: Question 1: Determine if the two planes 6x + 18y + 14z = -2 and the plane containing the points (1,…

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Q: Question 1 Find the equation of the plane through points P1(-2,1,4), P2(1,0,3) that is perpendicular…

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Q: a) Find the equation of plane passing through the points (1,1,–1), (6, 4, – 5),(- 4,– 2,3)

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: Find an equation of a plane containing the three points (-5, -4, -3). (-10, -3, -1), (-10, -2, 1) in…

A: The given three points are -5,-4,-3, -10,-3,-1, -10,-2,1 in which the coefficient of x is 0. Find an…

Q: Find parametric equations of the line through the given points. (a) (2, −3, 1), (4, 2, 5) (b) (−3,…

A: The parametric form of a line passing through two points px1,y1,z1 and Qx2,y2,z2.Fix P-base…

Q: Find an equation of a plane containing the three points (-3, -1, 1), (-4, -6, 0), (-4, –5, 2) in…

A: Given points (-3,-1,1) , (-4,-6,0) , (-4,-5,2) We have to find the equation of plane consisting…

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

A: Let's find.

Q: The equation of the hyperbola whose foci are (-2,0) and (2,0) and length of transverse axis is 2 is…

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Q: The equation of the plane containing the points (4, – 3,1), (-3,–1,1) and (4, –2,8) is:

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Q: Find the equation for the plane passing through the points P₁ = (-2,5, -2), P₂ = (-2, 0, 0), and P3…

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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.