The curve expressed by polar coordinate equation (ρ - 3) (θ - π / 3) = 0 (ρ≥ 0) is__________ Is the answer a circle and a straight line? That's weird! Please give me a definite answer~

The curve expressed by polar coordinate equation (ρ - 3) (θ - π / 3) = 0 (ρ≥ 0) is__________ Is the answer a circle and a straight line? That's weird! Please give me a definite answer~

I think it's a circle and a ray

What curve does this polar equation represent

Multiply both sides by ρ to get:
ρ^2=2ρsinθ
x^2+y^2=2y
x^2+(y-1)^2=1
The curve represents a circle with a radius of 1 and a center of (0,1)

The polar coordinate equation P = 10 / (5-3cos @), which represents the curve?

p=10/（5-3cos@）,
10=p（5-3cos@）
10=5√（x²+y²）-3x
(10+3x)²=25(x²+y²)
16x²-60x+25y²-100=0
(4x-15/2)²+25y²=225/4
The curve represented is an ellipse

In polar coordinates, a tangent of the leading circle ρ = 4sin θ passing through point (2, - π / 2) is obtained

2√5

On the number axis, point a represents √ 2, and the symmetric point of point a about the origin is B. let the number represented by point B be x, and find the value of | - x + √ 3-1 | + √ 2 (x-1)

According to the meaning of the question, x = - 2
|-x+√3-1|+√2（x-1)
=|√2+√3-1|+√2（-√2-1)
=√2+√3-1+（-2-√2)
=√2+√3-1-2-√2
=√3-3

As shown in the figure, point a on the number axis represents √ 2, and the symmetric point of point a about the origin is point B. let the number represented by point B be X. find the value of / X - √ 2 / + 2x

The number represented by point B is the opposite of √ 2, that is, x = - √ 2
So / X - √ 2 / + 2x
=|-√2-√2|+2*(-√2)
=2√2 - 2√2
=0

It is known that the numbers corresponding to a and B on the number axis are - 2 and 4 respectively. P is a moving point on the X axis and the corresponding number is X
Whether there is a passing point P on the number axis, so that the sum of the distances from point P to point a and point B is 10. If there is, find the value of X. if not, explain the reason;

|x-(-2)|+|x-4|=|x+2|+|x-4|=10
When x4, x + 2 + x-4 = 10, 2x = 12, x = 6

Given that the corresponding numbers of points a and B on the number axis are - 4, x + 1 / X-2 respectively, if the distances from points a and B to the origin are equal, find the value of X

According to the meaning of the title: (x + 1) / (X-2) = 4 or (x + 1) / (X-2) = - 4, the solution is: x = 3 or x = 7 / 5

On the number axis, the number corresponding to a is a, and the number corresponding to B is B, satisfying | A-12 | + | B + 6 | = 0, and O is the origin|
The number corresponding to a on the number axis is a, the number corresponding to B is B, satisfying | A-12 | + | B + 6 | = 0, and O is the origin
Yu'er, 2010-09-19 share
Add: (1) find the value of a and B, and mark a and B on the number axis
(2) On the number axis, a starts to move to the left at the speed of 3 units per second, and B starts to move to the left at the speed of 1 unit per second. At point C, a overtakes B. what is the number corresponding to point C?
(3) If point a stays in place, point B still moves to the left at the speed of 1 unit per second, M is the midpoint of line ob, and N is the midpoint of line ab. during the movement of point B, whether the line Mn changes or not, if it changes, explain the reason, if it does not change, explain its length

Ah, ah, Da, ASA, Da, SA, SA, Da

There are two points AB on the knowledge axis. The distance between AB is 2. The distance between a and the origin is 3. What is the number represented by B

1. A is to the left of the origin,
B = - 3-2 = - 5 or B = - 3 + 2 = - 1
 
2. A is to the right of the origin,
B = 3-2 = 1 or 3 + 2 = 5
 
So the number represented by point B can be: - 5, - 1, 1, 5