Draw the regions or curves described by a.) |z-1+i| <= 1 b.) |z-i| = |z+i| c.) R(z)-I(z) = 5 where R(z) means the real part of z. d.) |z-i| + |z+i| = 1

Q: Find all points with coordinates of the form (a, a) that are a distance 3 from P(-2, 1).

A: Given: P(-2,1) and distance is 3. To find the other coordinate point.

Q: Find the distance d between the points (1, 3) and (5, 6).

A: Given: To Find: The distance (d) between the points (1, 3) and (5, 6)

Q: Consider the line which passes through the point P(5, -5, 5), and which is parallel to the line x =…

A: The direction vector of the line  given by:        x=1+4ty=2+1tz=3+3t is :    r→=123+t413 So, The…

Q: Find the point at which the line r(t) = (7, −7, 4) + t(−6, 6, −8) intersects the az plane.…

A: To find the point where the line intersects xz plane

Q: 2. The x- and y-axes divide the coordinate plane into four regions called

A: Given: The x and y axes divide the coordinate plane into four regions

Q: Three or more points are collinear when they all lie on the same line. Use the steps below to…

A:

Q: Find the values of a for which the point (a-1,a+1) lies in the larger segment of the circle…

A: (1)    Given that the equation of the circle is   x2 + y2 - x - y - 6 = 0                Given point…

Q: D, E, F

A:

Q: Give the coordinates of X-intercept for the line Y = 2(x – 1) + 7.

A:

Q: Q1-)A-) Find the distance from the point (0 ,1,1) to the line of intersection of the planes : x + 2y…

A: Use equation of plane

Q: |2] Find eguation tor the plane in the tollawing: the plane through P.(0,2,-1) novmaf to n=3i-2j-k

A: we know that vector equation of the plane is (r-a).n=0.

Q: calculate the distance between the point P (2, 3) and the point Q (1,-2) 20 3 us O V25 4 jus O V26

A: The distance between two points (x1, y1) and (x2, y2) is                    d=(x2-x1)2+(y2-y1)2…

Q: t G(u, v) = (6u + v, 32u + 9v) be a map from the uv-plane to the xy-plane. Find the image of the…

A: We have to find the equation of line in slope intercept form.

Q: b) Find the intersection point of the line Lix-1.y-3+t, z4+2t with xz-plane.

A: Here we have given equation of line and we have to find the point of intersection of given line with…

Q: ther the space curve given by r(t) = (2t², t² + 2t - 8, t - 2) intersects the x-axis, and if it do…

A: Given space curve We have to determined whether it intersects x-axis or not?

Q: In the xy-plane, line k intersects the y-axis at the point (0, –6) and passes through the point (2,…

A: Given:- In the xy-plane, line k intersects the y-axis at the point (0, -6) and passes through the…

Q: ind the distance between the point (-1, 2, 1) and the plane 2x + 3y - 4z = 7. OTE: Give your answer…

A: Given query is to find the distance between the point and the plane.

Q: Let P(-4, 1, -3) be a point that is not on the line L . Let the line L pass-through points Q and R…

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Q: c. Find the distance from Po = (3,9, 6) to the plane 3.x + 4y – 5 = 0.

A:

Q: Find the distance from the point (-6, −6, 2) to the line Ỉ =(−1,−1,7)+t(4,−8,2),−oo <t<0. <∞.

A: