Q1 Consider the planes. 7: 2x-y+z = 6, : x+y+22=3,, 3x-4 y+sz=10 : 2x-y +2=3,52-3y+22=1, Find the fol) onsing () angles between the planes i,; :q.

Q: Determine the geometric location of the points in R3 that equidistant from the plane y = 3 and the…

A: This is question of 3d geometry and locus.

Q: Find the distance from the point (7, -14, -21) to the plane:  2x - 3y - 6z = 1

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Q: What angle does the line of intersection of the planes 2x + y - z = 0 and x + y + 2z = 0 make with…

A: Given:The planes 2x + y - z = 0 and x + y + 2z = 0

Q: (0,1,1) to the line of intersection of the planes : x + 2y + z = 1 x - y + 2z = -8

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Q: Find the angle between the planes 2x + y- 3z 2 and -x + 2y - z= 1.

A: We can solve the given problem as follows:

Q: Q6. Let O(0,0), A(1,0), B(1,4) be points in the plane R². Then the following point lies in the…

A: I am attaching image so that you understand each and every step.

Q: a) Explain fully, atleast three possible relationships between two lines in R3 [c3] b) Which of the…

A: (a) The relationship between any two lines in ℝ3 is always one of the following three: They can be…

Q: A 6 D 9 3 10 7 8 2 1 4 B 5

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Q: -) Find the distance between the point and the plane. (0, 0,0) a. + Z = 28 4x +7y+z = 28 b. Verify…

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Q: Q3: If P, Q and R are three points having coordinates (3, -2, -1), (1, 3, 4), (2, 1, -2) in XYZ…

A: Given that P(3,-2,-1); Q(1,3,4); R(2,1,-2) are three points in XYZ space.we need to find the…

Q: Find the angle between the two planes 2x + 3y + z = 3 and x + 3y + 2z = -3

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Q: Q1-)A-) Find the distance from the point (0 ,1,1) to the line of intersection of the planes : x + 2y…

A: Use equation of plane

Q: ans ) Find the lengthaf the Projection of the line jeining (-1,2,) ane -19 2) on the Plane…

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Q: 2. Which of the following points lie on the plane 11x-2y-4z + 2 = 0 A) (4, 2, 6) B) (11,2,-4) C) (4,…

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Q: 9. Plot these three coordinate points on the given Cartesian Plane: (2,3) (-2,1) (4,-1) Join the…

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A: Given problem:- Find the distance from the plane to the origin. The plane has A(1,1,0) B (-1,0,1)…

Q: -When rotating the triangle (abc) by 30° about the origin, where a-(1,1), b-(4,1) & e-4,3), the new…

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Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.