Prove analytically that the perpendicular bisector of a chord of a circle contains the center.

Q: Write the standard from of the equation of the circle with center at (-3, 5) that is tangent to the…

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Q: In the xy-plane, (-3, 1) and (4, 3) are the endpoints of a diameter of a circle. What are the…

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Q: Which is an undefined term in geometry

A: Undefined term in Geometry

Q: a circle can also be represented in its general form which is written as for a circle to exist,…

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Q: True or False: All trapezoids have two pairs of sup- plementary angles.

A: Given :

Q: A sphere in the first octant is tangent to the three coordinate planes. What is the radius of the…

A: Given:- A sphere in the first octant is tangent to the three coordinate planes To find:- Radius of…

Q: Suppose that (a) point C lies in plane X and (b) point D lies in plane X. What can you conclude…

A: Let point C and D lies in plane X. A straight line can be formed by joining the points C and D. Let…

Q: Construct the bisector of XY.

A: According to our guidelines we can answer only first question . Kindly re-post other questions . (1)…

Q: Find the angle between the diagonal of a cube and one of its edges.

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Q: lentify the center and radius of the circle defined by the equatic x – 2)² + (y – 3)² = -

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Q: Write an expression for the length of a parametriccurve

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Q: What is the center and radius of the sphere that has (1, -2, 2) and (3, 4, -12) as endpoints of a…

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Q: The intersection between the surface x + y + z = - 1 and the circle x2 + y2 = 1,z = 0 is

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Q: 1. Carefully prove that the line joining the midpoint of any chord to the center of the circle is…

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Q: Show that in hyperbolic geometry, the vertices of a triangle can belong to the same circumference.

A: Hyperbolic geometry comes into consideration when surfaces are curved not like surface of a room or…

Q: type of quadric surface is renresented by t n us Oupumb bn to udurR

A: The given quadratic equation is x2=4y2+9z2 .......................... (1)

Q: Geometry Proof. Please write the answer like column proofs(statements and reasons), so I can…

A: Given two secants say PA and PB from an external point P are equal.

Q: Given a sphere in center-radius form, how will you get an equation tangent to only one of the…

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Q: Prove that the Chebyshev center of an acute triangle in the Euclidean plane is the center of the…

A: Let I be an inversion with respect to c. Let denote A'=I(A). If the points A,A' and B are collinear.…

Q: what is the radius of the circle 4x^2 + 4y^2 = 4y - 8x + 5

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Q: Discribe the topology through diagrams of surface and curves

A: Describe topology through diagrams of surface and curves.

Q: Prove that the normal point on the circle passes through the center.

A: Consider the equation of the circle, x2+y2=r2 Consider an arbitrary point x1,y1 on the circle.…

Q: What is the locus of points in space equidistant from two parallel planes?

A: Locus: If the two lines are in Rn the points equidistant from them form an n−1 dimensional…

Q: Use the result in Exercise 24 to find the equation of the circle that has center (0, 0) and contains…

A: Given Center coordinates of circle =0,0 Point passes through circle=3,4

Q: Find the image of the circle Iz| = 3 under the stereographic projection in the sphere.

A: We let G be a sphere in Euclidean three space. We want to obtain a picture of the sphere on a flat…

Q: Use the result in Exercise 26 to find the equation of the circle that has center (0, 0) and contains…

A: Given Center of circle is at (0,0)   and contains point (3,4)   To evaluate, equation of circle

Q: Find the radius of a circle with center at (-2,1) if a chord of length 10 bisected at (-3,0).

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Q: In the context of hyperbolic geometry, show that the segment joining the midpoints of two sides of a…

A: Given below clear explanation

Q: A parabola is the locus of a point equidistant from?

A: Answer : A parabola is the locus of a point equidistant from a fixed point and a fixed line.

Q: Is it possible to angle the flashlight in such way that the boundary of the lighted area is a…

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Q: Prove that the midpoint of the hypotenuse of a right triangle is. equidistant from the verticle

A: Instead of T,S,V and M I choose C,A,B and D

Q: Describe one characteristic of the perpendicular bisector in the figure below. in

A: Here the ray nM is the perpendicular bisector on the line PQ. Where, Angle nMQ and angle nMP are 90°

Q: Can u classify the quadrilateral

A: Explanation: It can be seen from the the given figure that the figure has four sides with exactly…

Q: the midpoint of the perpendicular distance between two chords of a given circle is the center of the…

A: Given query is to find statement is true or false.

Q: Explain why a line in hyperbolic geometry must contain two distinct ideal points.

A: We have to answer given Questions.

Q: The quadric surface 2 = x² + is called

A: We know that this is the equation of hyperboloid from the general equation of hyperboloid.

Q: What is the locus of the center of a penny that rolls around and remains tangent to a half-dollar?

A: Concept;   Similar to circle sphere is a two dimensional space where the set of points that are at…

Q: . Prove that the perpendicular bisector of any chord of a circle passes through its center.

A: we will use method of contradiction i.e., we assume that the perpendicular bisector does not pass…

Q: Show that the geodesic on the surface of a right circular cylinder is a segment of a helix

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Q: Show that the set of all points P, that are twice as far from (-1,5,3) as from (6,2,-2) is a sphere.…

A: Let's find.

Q: Which of the fo llowing is a point on the 4) circle whose center is (0,0) and whose radius is 5?

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Q: How do you form a third concentric circle using chord, secant, and tangent and prove them in full…

A: Draw circle of any radius (say 5cm) centered at A.  Draw a secant line, intersecting the circle at D…

Q: What is a flat surface that extends infinitely in all directions?

A: Plane.

Q: What is the surface generated by a straight line which moves along a fixed curve, and which remains…

A: To determine the name of the surface generated by a straight line which moves along a fixed curve,…

Q: Is this curve a twisted cubic, parabola, line, or helix?

A: The objective is to check whether the curve is a  twisted cubic, parabola, line, or helix.…

Q: Determine the coordinates of the hexagon if a regular hexagon of side length 1 unit is inscribed in…

A: Given: A regular hexagon is inscribed in a unit circle. The length of each side of hexagon is 1…

Q: A circle in the xy-plane has a diameter with endpoints (-1, 3) and (7,3). If the point (0,b) lies on…

A: Topic = circle

Q: i. Prove that circle A with center (0, 4) and radius 4 is similar to circle B with center (-2, -7)…

A: Graph both the circles on desmos graph calculator. Then if they get mapped to each other then they…