TRUE OR FALSE With necessary proofs "The intersection of a circle and another convex subset of R², results in a convex subset"

Q: 37. What is the distance between the points P(3, 5, -2) and Q(2, 3. 0) in space? 2 3

A:

Q: Which is an undefined term in geometry

A: Undefined term in Geometry

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

A: Given :

Q: Find the image of the semi-infinite strip x+ y 2 2,x – y < 2, х, у 20

A: In this question, we find the image of the region under the given transformation w=z+2i Here first…

Q: If we have the circle (x – 3) + (y – 3)² = 4 and we intersect it with line y 4 what are the two…

A:

Q: Describe the locus of points in space that are at a distance of 3cm from point P

A:

Q: What are the coordinates of the point on the directed line segment from (-7, –9) to (5, 6) that…

A: Given  Points :  −7,−9 and 5,6 Ratio :  2:1

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

A:

Q: 4. A point moves so that the sum of the squares of its distances from the faces of a cube is…

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Q: 2. Prove that the line joining the midpoint of a median to a vertex of the triangle trisects the…

A:

Q: Use slopes to show that the points are vertices of the specified polygon

A: Given points are A(2,3), B(5,-1), C(0,-6), D(-6,2)

Q: What is the length of the graph of y = In(x<+1) - x from x = 0 to x = 3?

A: Given  The graph equation is y=lnx2+1-x  from  x=0 to x= 3 .   Formula :- Arc length of curve…

Q: 2) Now place n points on the edge of the pizza (on the rim of crust). Now connect those points with…

A: In case we want to count the number of ways a thing can we done, it is sometimes easier to find the…

Q: What is the locus of points in space that are equidistant from the vertices of equilateral triangle…

A:

Q: describe the sets of points in space whose coordinatessatisfy the given inequalities or combinations…

A: We have to describe the set of points in space whose coordinates satisfy the given combinations of…

Q: Write one or more inequalities that describe the set of points. The closed region bounded by the…

A: For closed region , Sign of equality holds. Equation of sphere is -  x2+y2+z2=a2 ,where a is the…

Q: What are the coordinates of the point on the directed line segment from (-6,-10) to (6,8) that…

A: Given- The line segment from (-6,-10) to (6,8). To Find- The coordinates of the point that…

Q: Give a geometric description of the following sets of points. x2 + y2 + z2 - 8x + 14y - 18z ≥ 65

A: Given: x2+y2+z2−8x+14y−18z≥65

Q: There are infinitely many secant lines from an exterior point to a circle. True or False? O True…

A: From a point outside the circle, infinite secants can be drawn to the circle

Q: Show that the distance between the two points z1 and z2 in anArgand diagram is | z1 - z2 | .

A: Argand diagram:  1 It is a plot of complex numbers as point.  2In the complex plane using…

Q: Use analytic geometry to classify the quadrilateral with vertices J(-2,1), K(2, 3), L(4, -1), and…

A: We have to classify the quadrilateral

Q: Show the symmetry tests for the curve r=3-3costheta

A: Consider the curve

Q: The graph of the corresponding equation of a linear inequalityis a line that separates the xy-plane…

A: We have complete the missing word/words.

Q: =: |2| = 1 on closed curve -dz < 2ne, show that inequality exists.

A: Let fz=ez+4z2 Then f has singularity at z=0 of multiplicity 2 Resf;0=limz→0ddzz2×ez+4z2…

Q: A trapezoid has vertices located at the points: A(-2.3, 5), в(4.8, 5), с(4.8, —2.2), D(-2.3, –3.3).…

A: Use distance formula to find length            d=(x2-x1)2+(y2-y1)2

Q: 10. What is the surface

A: surface area of a rectangular prism that has these dimensions

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: A subset S of a plane satisfying incidence and betweenness axioms is called convex if for any two…

A: (a)To prove: - Intersection of convex set is convex.Let us take two convex set (let A and B) and…

Q: There are infinitely many secant lines from an exterior point to a circle. True or False? O True O…

A:

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: The set of all points P that are  twice as far from -1, 5, 3 as from 6, 2, -2. Let coordinate of a…

Q: Show that every point of R is zero distance from Q

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Q: Find the equation of locus of a point P such that the distance of P from the origin is twice the…

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Q: find the distance between points P1 and P2. P1(-1, 1, 5), P2(2, 5, 0)

A: Given points are: P1=(-1, 1, 5) and P2=(2, 5, 0) The formula to find the distance between two point…

Q: topological spaces X and Y,

A:

Q: 3. What are the three possibilities for the intersection of a line and a plane?

A: The solution is given in the next step.

Q: find the equation of a locus of a point P such that distance of P from the origin is twice the…

A: Let us consider that, an arbitrary point P is x,y. Vertices of origin and point A are 0,0 and 1,2…

Q: Prove analytically that the midpoint of the hypotenuse of a right triangle is equidistant from the…

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Q: Farmula for area of triangle with vertices at (0,0) ,(a1,a2)  and (b1,b2)

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Q: Use Green's Theorem and/or a computer algebra system to evaluate [x²ydx с where C is the circle x² +…

A:

Q: 2. What is the term for part of a line that is bounded by two distinct endpoints and contains every…

A: We know that a line segment is a part of a line that is bounded by two distinct endpoints and…

Q: describe the sets of points in space whose coordinatessatisfy the given inequalities or combinations…

A: Given: The equations x=y, z=0 To find: The set of points whose coordinates satisfy the given…

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: 9. Under what conditions could a geometry satisfy more than one of the parallel postulates? Explain.…

A: There are some points with explanation and example to understand you better.

Q: What are the coordinates of the point on the directed line segment from (-1, 4) to (8,-8) that…

A:

Q: 1. Prove algebraically that for any sets X and Y, we have Y – (Y – X) = X nY.

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

Q: What are the center and the radius of the circle 4x2 + 4y2 -4x + 16y +1 = 0? %3D

A:

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

A: SOLUTION-

Q: Is a convex quadrilateral a convex set?

A: It is given that Convex quadrilateral and convex set

Q: Try to prove the existence and uniqueness of the fixed points..

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.