prove that there is a line through two distinct points if and only if their polars intersect in Desargues' geometry

Q: The curves C1 and C2 are both symmetric with respect to the polar axis. Each of these curves is…

A: As per the question we are given two polar curves C1 , C2 which are symmetric about the polar axis.…

Q: Find the polar form of z = √3+ i and use it to compute z².

A:

Q: A circle C has center at the origin and radius 3. Another circle K has a diameter with one end at…

A: we need to find r and θ from the given data.

Q: 3) Write the polar equations of a) The negative X axis b) The line Y = X

A: Rectangle form to polar form Let (x,y) be a point in rectangular form then x=rcosθ and y=rsinθ…

Q: 20. The Cartesian coordinates of a point are (v3, -1). Convert to polar coordinates (show work…

A:

Q: Find the polar coordinate for (-1, √3) where r>0 and 0≤Ø<2π

A:

Q: A plane curve is represented by the parametric equations x = 3-6cos 8 and y=-2 + 3sin 9. Which of…

A:

Q: 1. Determine an equation for each of the following lines (given the indicated form for each…

A: We have to find the equation of line passes through given points A and B in the parametric form.

Q: 3π Plot the point whose polar coordinates are 2, 2 -5 -4 -3 -2 -1 5 4 3 2 1 -1 -2 -3 -4 V 1 2 3 5

A: The given polar coordinate point2, 3π2. We have to plot the point in the rectangular coordinate…

Q: Plot the points with polar coordinates 4, 5T 3T 4 27 3 RIM RAT 70 4 5π TO 2) ( 37) 25 and -5, TO 6 X…

A: The polar coordinate 4,-π6 and -5,5π3

Q: Consider a triangle with vertices O, A and B, where O is the origin, OA-√3i+j and…

A: Consider a triangle with vertices O, A and B, where O is the origin,  and .(a) To show that triangle…

Q: Find the polar coordinates, -π ≤ θ &lt; π and r ≥ 0, of thefollowing points given in Cartesian…

A:

Q: Find the roots of (5 +3i)1/2   in polar (r< θ) and rectangular forms using de Moivre’s theorem.

A:

Q: All the polar coordinates of the potnt are: (o (4승+2nn) and (0)(4승+2nm) and + 2nn (e) None (o(+동+…

A:

Q: O Find the values of for which the polar curve 5=2(1+son 8) has horizontal tangents or vertical…

A: Given That : polar curve r=2(1+sinθ) To find : value of θ for which the polar curve has horizontal…

Q: Given point M (6√3,-6), which is located on the rectangular coordinate plane, what are the…

A: Put x= r cos and  y=r sin .

Q: Suppose the movement in the polar coordinate system is [0₁, d. 0₂]= [, 2, a. What will be the…

A: In a polar coordinate-system, we can describe the position of an object using the following…

Q: Graph the sets of points whose polar coordinates satisfy the equationsand inequalities 0 ≤ θ ≤ π, r…

A:

Q: 2. Find two polar representations for the point having cartesian coordinates (6V3,6). One of your…

A:

Q: Given point Q=(-8√2,8√2) i in rectangular coordinates, what are the corresponding pol

A:

Q: Given the points P = (1, 7,-5), Q = (5, -3, 3) and R = (-4, 2, 7). a) On the graph label the points…

A: Given That : Points P1 , 7 , -5 , Q=5 , -3 , 3 and R=-4, 2 , 7. To Find : a) On the graph label the…

Q: In rectangular coordinates, each point in the plane is named by a unique ordered pair, (x, y). That…

A: yes you are correct. In polar coordinates system we can assume a point as (r,theta)

Q: 1. What is the polar form of (5-jl5) × (8+j6)?

A:

Q: Determine two pairs of polar coordinates for the point with 0° ≤ 0 < 360°. (5,-5) O (5√2, 45°),…

A: