Ax + By= C In the equation above, A, B, and C are positive constants . Which of the following could be the graph of the equation in the xy-plane? A) C) В) D)

Q: ax + by + cz + d, = 0 13) Show that the distance between the parallel planes: and ax + by + cz + dz…

A: here we have to prove the formula of distance between 2 parallel planes.

Q: 10) Find an equation for the plane through Po(0,2,0)perpendicular ton = 31 – k.

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Q: give a geometric description of the set of points inspace whose coordinates satisfy the given pairs…

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Q: Write a paragraph explaining how the distance formula giving the distance between two points (x1,…

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Q: Which of the following is the equation of a plane parallel to the cz-coordinate plane and passing…

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Q: Find the condition for the points (a, 0). (h, k){0,b) when ab = 0 to be collinear.

A: Find the condition for the given points to be collinear.

Q: Considering only the 4-point planes that are drawn in the figure below, which point does NOT share a…

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Q: V and S are the midpoints of the legs, QU and RT, of trapezoid QRTU. If TU = 6 and QR = 10, what is…

A:

Q: 4. Determine whether the planes are parallel, perpendicular or neither. If neither, find the angle…

A: Two planes are neither perpendicular nor parallel.

Q: Which is the fourth point on plane TSW? T. U O Y

A: A plane is a 2-dimensional surface. It can have an infinite number of points. A plane is composed of…

Q: (c) The plane M is defined by the equation x + y+ z = 0. 2 What is the distance of the point 1 from…

A:

Q: Find an equation of the largest sphere that passes through the point (-1, 1,4) and is such that each…

A: Find the equation of sphere.

Q: 9. Write an equation of the plane that passes through (2,0, –3) and (a) is perpendicular to the line…

A: Given: The vectors are: a=-1, -2, 3b=3, 0, -2v=2, -5, -4 The equation of plane is, P=2x+y=z+13

Q: Which of the following is the equation of a plane parallel to the yz-coordinate plane and passing…

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Q: 5. Consider two distinct points [b1 in the and plane. Explain why the solutions of the equation det…

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Q: Let a point a = (2, 4, 5). %3D a) Find the distance from this point to the xy-plane.

A: Consider the point

Q: A power cable is to be fitted under a road and can be represented on 3D Cartesian axes as below,…

A: a. The points are A0,-40, 0 and B (40, 0,-20) Obtain the distance AB:…

Q: Which of the following points is on the xz plane? a) (1, -3, 0) b) (0, 4, 0) c) (0, 3, -2) O d) (2,…

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Q: Describe with a sketch the sets of points 1x, y, z2 satisfying the following equations. y - z = 0

A: First sketch the graph of the function y-z=0 as shown below.

Q: ) of the plane and the line. (If an answer does not exist, enter DNE.) =2-5 10 plane. e nlane

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Q: y U(a, b) V(?, ?) h =b units T(0, 0) a units W(c, 0)

A: HL congruence postulate: According to this congruence postulate, two right triangles are congruent…

Q: a. A trapezoid has been transformed on the coordinate plane as shown. Trapezoíd A Trapezoid B

A: Given that:

Q: 5. What can you change to the two planes to make them parallel? Make as few changes as possible and…

A: given planes π5: 2x-4y+2z-2=0π6: x-y+3z-2=0

Q: Which is the fourth point on plane TSW? S T U Y O Y O W

A: we have, As we can see that a cuboid is given and their vertex are assigned by some letters. Always…

Q: Which of the following point is the closest point on the sphere z +y² + z? = 4 from the point…

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Q: 2. Do the two planes intersect? If they do, where do they intersect? TT 2x - y + z = 1 = 0 3 TT 4 x…

A: Equation of the line perpendicular to the given plane be n1 & n2 . Now here n1≠ k n2  , where k…

Q: 1. Which of the following points in the standard (x, y) coordinate plane is farthest from the…

A: Which of the following  points in the standard (x, y) coordinate plane is furthest from the origin

Q: Which of the following point is the farthest point on the sphere a? + y² + z? = 4 from the point…

A: The equation of sphere is given as, From the equation it is clear that the sphere has its center at…

Q: A solid figure projects the same shape on the x-y, y-z, and x-z view. Which of the following…

A: A solid object have same shape on x-y, y-z and x-z view.

Q: 1. Find an equation for the plane through Po (0,2,-1) perpendicular to n = 3i - 2 j- k ?

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Eliminate the parameter t to find a Cartesian equation for: x = ? and y = 9 + 4t . and express your…

A: We are given that x=t2 and y=9+4t. Now,…

Q: Find the condition for the points(a, 0).(h, k)(0, b) when ab 0 to be collinear.

A: When points are colllinear area should be 0Therefore, 12a01hk10b1=012ak1b1+1hkb1=0

Q: In ARST, SV bisects y ZRST. Find the coordinates of point T in terms of a. S (a, a) 2a T?, ?) V (2,…

A: Given that, Let ∠TSV=θ and ∠VSR=θ(∵SV is angle bisector)

Q: ind an equation of the line of intersection of the following two plane x + y + z = 0 nd 2я — у + 32…

A: We have to find out

Q: Find the distance between the point P(1, -2, -3) and the plane x + 2y + 2z - 15 = 0. Answer:

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Q: -1. Through (1,5, 2) perpendicular to 37 – J + 4k .

A:

Q: ind the distance from the point to the plane ( 2,–3,4) x + 2 y – 2 z = 13

A: To find : Distance from the point (2,-3,4) to the plane x+2y-2z=13   formula for distance from point…

Q: The coordinates of the points O, A and B of the plane are (0.0), (0.20) and (300.0), respectively. A…

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Q: which of the following is not created when a plane slices through a cone? A: Point B: Rectangle…

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Q: xy dr + x?y° dy, C is the triangle with vertices (0,0), (1,0), and (1, 2).

A: By using green theorem, we calculate the given integral.

Q: DERIVE the formula (shown below) for the distance D between point, P0(x0, y0, z0) and the plane, ax…

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Q: give a geometric description of the set of points inspace whose coordinates satisfy the given pairs…

A: y=0, z=0

Q: 4. Determine whether the planes are parallel, perpendicular or neither. If neither, find the angle…

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Q: 4. The diagonals of parallelogram WXYZ intersect at D. Which statements must be true? Select all…

A: NOTE: According to the guidelines only one question will be answered please upload other one…

Q: What does the following equation represent in R O None of the others O Sphere O Plane O Line O…

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Q: The plane can perpendicular to the a) x-axis at (3, 0, 0) b) z-axis at (0, 0, -2) c) y-axis at (0,…

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Q: A paritcle is at the point P1 (3,7) and is displaced to the point P2 (x,y) , where d= 10m and the…

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Q: Let h VI and y: 8 For what value(s) of h, is y in the plane generated by vị and v2?

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Q: Consider the points P = (3, 2, 1) and Q = (1, 2, 3) in R3. (1) What is the equation of the sphere…

A: Answer

Q: ind an equation for the plane that passes through the point A(1,2,3)parallel to u = 2i + 3 j + k nd…

A:

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.