You are given the following points: A=(−4,20,16)A=(−4,20,16), B=(20,0,7)B=(20,0,7), C=(8,−15,−19)C=(8,−15,−19).  Which point is closest to the yz-plane?  ? A B C   What is the distance from the yz-plane to this point?   Which point is farthest from the xy-plane?  ? A B C   What is the distance from the xy-plane to this point?   Which point lies on the xz-plane?

Q: TUESDAY: Plot the following coordinates on the plane. E = (3,2) F = (7,9) G = (10,3) H = (5,7) %3D…

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Q: Assume the equation of a parabola and a line are given by y = x² + 4x and y=x+4, respectively.…

A: To find out the intersection points of the given parabola and the line.

Q: r1(t) = (3, –6, 2) +t (-4, 2, –4) r2(t) = (-3, 3, – 10) + t (2, 1, 0) Find the point of…

A: Lines r1 and r2 can be rewritten as follows:

Q: Can the x-intercept and the y-intercept of a line be the same point? Explain. O Yes, when the line…

A: Given

Q: Determine whether the lines h and I, intersect, are parallel, or are skew. 1: n= 4i+3j+ (i-j+6k) 12:…

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Q: Which point(s) lie in the plane 2x + y - z = 10? a) (0, 0, 10) c) (2, 4, - 2) b) (5, 3, - 3) d) (-3,…

A: Given:plane: 2x+y-z=10

Q: Find all hyperbolic lines that passes through i +1 and parallel to the y-axis.

A: Find all hyperbolic lines that passes through i+1 and parallelto the y-axis.

Q: Find the cosine of the angle between the planes -3x - 4y – 3z = 3 and the plane - 1x - 3y + 3z = -2.

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Q: The distance from (-3,-4,-7) to the xz-plane is (A) -4 (B) (C) -3 (D) 3 (E) 4.

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Q: Which equation represents a circle with a center at (2, - 7) and a radius of 4 units?

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Q: 10. If M is the midpoint of the line AB where A has coordinates (- 6,5) and B has coordinates (4,3).…

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Q: Provide a hand-drawn sketch of S using the traces obtained in (a). Label all important points found…

A: As per the question we are given a 3d surface S defined as : 4x2 - (y-3)2 + 4z2 = 4 And we have to…

Q: (x + 4)2. (v- 1)² 1? 36 What are the lengths of the major and minor axes of 16 A Major: 36; Minor:…

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Q: 91 a) Find an equation of the sphere with center (1,-3,-5) and tangent to xz-plane.

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Q: Q1. Find the equation of sphere whose center is at (4,-1, 7) and radius is 5.

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Q: 8. Based on the diagram below, what Is the measure of arc HK ? A. 24° (Zx+30) В. 96° С. 12° D. 132°…

A: As per guideline we have to solve one question

Q: If a line segment has endpoints A(2x + 7,4y) and B(4x + 3,- 2y), what are the coordinates of the…

A: A line segment has endpoints A2x+7, 4y and B4x+3, -2y

Q: Use coordinate plane formulas (slope, distance, midpoint) to determine whether parallelogram ABCD…

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Q: What are the intersection points of the parabola given by the equation y = x2 – 9 and the line given…

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Q: In the xy-plane, line & passes through the point (0,0) and is parallel to the line represented by…

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Q: Let A = (-2,-2) and B= (2,-2) betwo points and AB subtends an ang in the plane in such a way that…

A: Since AB=4 and area of AAPB is 8,we have                 1 2×4×h=8 or h=4where h is the height of…

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.