2) Provide a geometric description of the following sets of points: a) x? + y? +z? < 2x – 4y + 6z b) x² – y? = 16, z>1

Q: The set of points {(x, y, z) | x² + y² = 2x} is a circle of radius 1. OTrue O False

A:

Q: Let AB be a line segment. Prove the perpendicular bisector of AB is the set of all points which are…

A:

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

A:

Q: Describe the set of all points P ( x , y ) in a coordinate plane that satisfy the given condition. 8…

A:

Q: ,A, B,C be 4 points in R², no three of which colinear. Fix A' e VA, B' e VB and C' e VC h that AB ||…

A: In the following question, concept of parallel line is applied. Parallel Line Parallel lines are…

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

A:

Q: 4. Prove that the midpoint of the line segment connect- ing the points (x 1, X 2, - . . , Xp) and…

A: The midpoint of a segment can be considered to be the average…

Q: 3. Sketch the points determined by the following. (a) Iz+1-i = 2 %3D (b) Im(2z +i) +1=0

A:

Q: 1 2x 3y + z = 0 and 2 +t - 1 1

A:

Q: .

A:

Q: 4 Show that the equation of the sphere circumscribing the tetrahedron whose faces are y+z=0, z+x3=0,…

A: Find the four vertices of the tetrahedron.  Making four equation.  Then write it in matrix form.…

Q: If a plane contains two distinct points P1 and P2 then show that it contains every point on the line…

A: From Geometry: Line can be parallel to plane, intersect the plane or lie in the plane. Only third…

Q: Prove that the circle {(x, y), x² + y? = 1} is not homeomorphic to the interval [-1, 1).

A:

Q: (a) y= -2 (d) xy = 0

A: Consider the given information.(a)The given condition is y=-2.The line y=-2  is a vertical line,…

Q: The dimension of the set W = {(2t – s, s, t) : s, t e R} of R is equal to: %3D

A: The dimension of the set W={(2t-s,s,t) : s,t ∈ R} of R3 x=2t-s y=s z=t (t,s) ∈ R   This can be…

Q: 3. Consider an acute angled triangle ABC and a point D on BC. Find points (by construction) E on AC…

A: Given:      An acute angled triangle ,inscribe in it a triangle whose perimeter is minimum.…

Q: Suppose that points A, B, and C are collinear and AB>AC. Which point can you conclude cannot lie…

A: Given   (a) points A,B, and C are collinear and   (b) AB &gt; AC.

Q: Sketch the solid described by the given inequalities: 0 <rs 2,s00szs

A:

Q: Indicate on an xy-plane those points (x, y) for which the statement holds. |x − 3| ≤ 5 and |y + 2|…

A:

Q: Let AB be a segment and letr be its axis. Show that every point P on r is equidistant from A and B.

A: Consider a line segment AB and r be its axis. To show every point P on the axis r is equidistant…

Q: 2. Suppose that T, U, and V are the points where the incircle of AABC touches the sides BC, AC, and…

A: 2) Formula Used :  Ceva's Theorem : For any ∆ABC AT , BU and CV intersect at a point O, if  ATVB…

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: A. Use the figure on the right to name each of the following: 1. three collinear points 2. three…

A: A) 1) Collinear points are the points which are on the same line. Hence 3 collinear points are A , P…

Q: What is the sketch the phrase "three collinear points and a fourth point not on the line of the…

A: Introduction: Dual of any phrase can be find by replacing the conjunction connective with…

Q: Find the condition for the points (a,0) ,(h,k),(0,b) when ab is not equal to 0 to be collinear

A:

Q: Determine the location of a point (x, y, z) that satisfies the condition z = −5

A: The condition is z = −5

Q: with the guldin's proposition 1 get the contents of the rotating object that occurs if the land…

A: As per the question we are given a 2d region bounded by the curve : y = 6 - 3x - x2 and the straight…

Q: Find the points on the cone z? = x2 + y? that are closest to the point (-5,5,0)

A:

Q: 1. Write a coordinate proof to prove the diagonals of an isosceles trapezoid are congruent. Gien…

A:

Q: A plane can be determined by points, that are not on the same line. OA. unable to be determined OB.…

A:

Q: Discuss the relativr position of the following pair of circles x2+y2-4x-6y-12=0

A:

Q: In AYZX, the midpoints of ZX and YX are M and N, respectively. The intersection of YM and ZN is G.…

A: M and N are the mid points of the side ZX¯ and YX¯, respectively. The measure of side YG is 22.

Q: Prove that the length of common chord of the two circles x + y² + 22x + c = (2² -c)(µ² +c) 2² + µ? O…

A: We will prove that the length of the common chord is the given term as following.

Q: Part (a) Evaluate 25e dz, where C'is the polygonal path consisting of the line segments from z = Oto…

A: Integration

Q: And the eguation of lines in which the blane 2x+47280 4u2-y2= 32²=0. ーザ cuts the cone Also find ind…

A: Hi! You have posted multiple sub-parts. As per norms, we will be solving only three sub-parts. We…

Q: Solve the following problems completely. If there are seven distinct points on a plane with no…

A: Given: Total number of points is, n=7. No three points are collinear. The objective is to find the…

Q: 2.) Example: Prove the Symmetric Property for the line segments. Given: PQ XY Prove: XY PQ P. Y Q

A: For the given line segments PQ≅XY

Q: 3. Let r be the radius of the circle inscribed in a right triangle with legs a and b and hypotenuse…

A:

Q: Prove that if P(I, y) be any point on the line segment joining R(11, Y1) and P2(12, Y2) then I= I1+…

A: Let P divides P1 and P2 in the ratio k : (1-k) x=kx2+1-kx1k+1-kx=kx2+x1-kx1x=x1+kx2-x1 Similarly…

Q: 6. If UV bisects XY at point W, which statements must be true? Select all the true statements. (A UW…

A:

Q: 2. Show that AB CD + AC DB + AD BC = 0, given the points are collinear.

A:

Q: Q

A:

Q: Find the set of points that is satisfied the condition described by |z – 2i|+ |z + 4i| = 10

A:

Q: If p is the length of the perpendicular from the origin to the X y 1 1 line += 1, then prove that +…

A:

Q: y (b, f (b)) (a, f (a))

A: