9. Suppose z1, z2, Zz are the vertices of an equilateral triangle inscribed in the circle |z| = 2. If z =1+ i/3, then z2 23 = .... ....

Q: 2.4 In the diagram below, O is the centre of the circle and PTRS is a cyclical quadrilateral. Prove…

A: Let O is the centre of the circle and PTRS is cyclical quadrilateral  We have to prove  angle RPT +…

Q: Prove that quadrilateral PLUS with the vertices P(2,1), L(6,3), U(5,5), and S(1,3) is a rectangle.

A: 1) Opposite sides are equal , 2) The diagonals of a rectangle are equal.  Distance formula of point…

Q: 42) Is a triangle with vertices G(3,2), H(8,5), and K(0,10) a right triangle? Justify

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Q: 13.10. Let y be the circle |z| = 2. Show that 1 dz- z2 – 1 3

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Q: 2. If there are seven distinct points on a plane with no three are collinear, how many different…

A: A polygon requires at least 3 points (and 3 sides). Since no 3 points are collinear, that means you…

Q: 9- find CAiblegonal Ciudes I21=1 and 12-11=4 all the Cisedes to the

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Q: In circle J with mZHLK 18, find the mZHJK. %3D L H. K

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Q: 9. Prove, by coordinate geometry that QRST is a parallelogram. Q(0

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Q: 3-) Find the pointls) to point Az(d,0) on x-3~y2 that are closest メ=2 25 +1,5 0.5 + - -ロ5 + 8.5 to…

A: here we have to find the point on the curve x=3-y2 that are closest to point A(1,0) let point is…

Q: If there are 7 distinct points on a plane with no three of which are collinear, how many different…

A: The number of ways r items can be selected from n distinct items is equal to Cn, r. The formula for…

Q: 23. Find the area of the triangle having vertices at (0, 2, 2). (8., 8, -2), and (9. 12. 6).

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Q: 11. that a point chosen at random is in the smallest circle

A: 11. Given Data: The diameter of the smallest circle is: d=4 in. The thickness of the shaded circular…

Q: 1.) Use Green's Theorem to evaluate the triangle with vertices (0,0), (1,2), and (0,2). $4x² ydx +…

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Q: Prove a quadrilateral with vertices G(1,1), H(5,3), I(4,5) and J(0,3) is a rectangle

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Q: Show that A(-3, 1), B(1, -1), C(4, 1), and D(3, 5) are vertices of a trapezoid.

A: Given vertices are A-3,1, B1,-1, C4,1 and D3,5. To show the vertices are of a trapezoid. Solution:…

Q: Find the center C(h,k) and radius (a) :of the circle x² + y° – 4x – 4 C(4, 3/2), a = 5 O С (4, 0), а…

A: Solution:-

Q: 2. Find the diameter of the given circle. 1- -6 -5 -4-3 -2 -1 0 1 3 --1- --2 -3 -4 -5- -6- --7 10 O…

A: We know that  D^2 = x^2+y^2+z^2+w^2  Where D is the diameter of the circle.

Q: 1: One of the hayfields on Rob's farm has shape and size modeled by a quadrilateral QC R? with…

A: Given:- Corners of the quadrilateral hayfields farm  is (3, 1), (6, 2),(3, 6) and (2, 4) We first…

Q: 1. If C₁ is the segment from (x₁, y₁) to (x2, y2), find Ja x dy - y dx in terms of the four…

A: Using Green 's theorem line integral to double integral

Q: In AXYZ, m₂X = 27° and m2Y = 48°. Which gives the sides of the triangle in order from shortest to…

A: Given query is to find the side lengths order.

Q: On parable y=x^2/2 set point, which distance from point P=(4,1) is minimal.

A: Given: Equation of parabola: y=x2 /2                      point P= (4,1) To find: Point on parabola:…

Q: 9. Suppose z1, z2, z3 are the vertices of an equilateral triangle inscribed in the circle |z| = 2.…

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Q: 2. Show that the points A(2,2,2), B(2,0,1), C(4, 1, – 1) and D(4, 3,0) are coplanar and that they…

A: The solution are next step

Q: 4. If AB is a diameter of a circle with center P, and X ånd Y are polits UI circle such that XY…

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Q: In(x + y) dA where R is the triangle with vertices (1,0), (1,1), (0, 1).

A: Let - I=∫∫Rln(x+y)dA Where R is triangle with vertices (1,0),(1,1),(0,1) Equation of line joining…

Q: 11) Batman drew a A that have its vertices at A(1, 2), B(4, 6), and C(8, 2). Is AABC a right…

A: Vertices of a △ABC is given. A=1,2B=4,6C=8,2

Q: 10 11 3 vertices at a parallelograni AaCD are shown in the appiet What are the coordinates of point…

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Q: 3. Let C be the positively oriented circle |2| = 2. Compute the following integral: 726+글 exp(를)…

A: We have to find complex integral using Cauchy Gaurast Theorem. Cauchy-Goursat Theorem. If a function…

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

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Q: 1. Find the diameter of this circle. -1 0 --1- 1 2 4 5 6 8 9 -2 --3 --4 -5- -6- -7 O 4V10 O 2v34 O…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: In triangle ABC, line t is drawn through vertex A in such a way that t BC. a) Which pairs of Zs are…

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Q: 3. Find the surface area of the parallelepiped with adjacent edges u = (4, 7, -8), v = (-2, 5, 11),…

A: Solution :18

Q: 7. Given the points A(-3, -4) and B(2, 0), find the coordinates of the point P on directed line…

A: Here given  endpoint of the line segment Ax1, y1=-3, -4Bx2, y2=2,0 A point P on directed line…

Q: Show that the quadrilateral with the given vertices is a trapezoid. Then decide whether it is…

A: Given: The vertices as W1,4, X1,8, Y-3,9, Z-3,3, To show: WXYZ is a trapezoid, To determine: Whether…

Q: Prove that quadrilateral DAVE with the vertices D(2,1), A(6,-2), V(10,1), and E(6,4) is a mbus. Yt…

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

Q: 2.2 Prove that ne dz < 3 e 2 ++1 whore C is the arc of the circle 2| = 3 from z = 3i to z = -3. %3D

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Q: If C is a circle of radius r with centre z, in the complex z-plane and if n is a non-zero integer,…

A: Introduction : Given a circle C with radius r and center z0. Then we have asked to calculate the…

Q: 2. Show that diagonals of quadrilateral CUTE are congruent for C(5,-1), U(9,-1), T(9,0) and E(5,0).…

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Q: 4. ABCD are vertices of a quadrilateral inscribed in a circle with center E. BF and CF are tangents…

A: We have to find the angle.

Q: -4 which of the fillowing sets of points is a eircle whose radius is 5 and whose centre is at the…

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Q: In AXYZ, mzY = 48, and mzX < mzY. Write the sides of the triangle (XY, YZ, and XZ) in order from…

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Q: Sketch the solid described by the given inequalities. Oses n/2, r szs4

A: We have given that 0≤θ≤π2 &amp; r≤z≤4

Q: The point on the directed line segment from (2,0) to (14,12) that divides the segment in the ratio…

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Q: In init square ABCD, the inscribed circle w intersects CD at M and AM intersects w at a point P…

A: The figure of the given situation:  ABCD is unit square.  w is an inscribed circle of radius 0.5 and…

Q: 7.8 Assume A * B + C on one line, and A * D* E on another line. Show that the segment BE must meet…

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Q: (a) If C is the line segment connecting the point (x,, y,) to the point (x,, Y½), find the…

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Q: 1. Provide necessary illustration in each given condition. Segment YO of circle D and intersected by…

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