The equation of line and circle If the equation of L1 is 3x-y-1 = 0, then the equation of L2 is

∵ y = x, 3x-y-1 = 0 ∵ 3x-x-1 = 2x-1 = 0, x = 1 / 2, y = x = 1 / 2 ∵ the intersection of L1 and L2 is (1 / 2,1 / 2) ∵ the bisector of the angle between L1 and L2 is y = x ∵ the equation of L1 and L2 is: Y - (1 / 2) = (1 / 3) [x - (1 / 2)] X

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1. On the equation of line and circle 1. What are the characteristics of the line represented by equation (2x + Y-5) + a (x-7y + 6) = 0 (a ∈ R)? 2. What are the characteristics of the line represented by the equation (a1x + b1y + C1) + a (a2x + b2y + C2) = 0 (a ∈ R, a1x + b1y + C1 = 0 and a2x + b2y + C2 = 0)?
2. The difficult problem of equation of straight line and circle It is known that the circle C satisfies the following three conditions: 1. The chord length obtained by cutting the y-axis is 2. 2. The ratio of the arc length of two arcs divided by the axis is 3:1. 3. The distance between the center of the circle C and the straight line x-2y is 5 / 5. Find the equation of circle C
3. How to express the equation of circle in plane rectangular coordinate system?
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5. In the following equations, what is the equation for a circle? Multiple choice: A. x ^ 2 + y ^ 2 + 2XY + 2x + 2Y + 1 = 0 B. 2x^2+3Y^2=5 C. 4x^2+(2Y-1)^2+4X-1=0 D.(3X-1)^2+9Y^2+12Y+5=0 Please write the details and reasons, thank you
6. How to express a section of the circle equation For example, x ^ 2 + y ^ 2 = 1, I want to represent the trajectory of a curve in this circle, so the equation of this trajectory is also x ^ 2 + y ^ 2 = 1, but there is a value range, so how to represent this value range?
7. How to find the equation of circle 1. To solve the equation of a circle with radius 1 and center point (4, - 1) 2. Find the equation of the circle passing through the intersection of the straight line x + 3Y + 7 = 0 and 3x-2y-12 = 0, and the center of the circle is point C (- 1,1) 3. Solving the equation of a circle passing through three points o (0,0), m (1,0), n (0,2)
8. The equation of circle A circle is tangent to the y-axis, the center of the circle is on the straight line x-3y = 0, and the chord length obtained by cutting the circle with the straight line y = x is 2 and the root sign is 7
9. The equation of line and circle If the line 3x + 4Y + k = 0 is tangent to the circle (x-3) ^ 2 + y ^ 2 = 4, then the value of K is equal to
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11. The equation of line and circle Given the vertex a (3, - 1) of △ ABC, the linear equation of the middle line on the edge AB is 6x + 10y-59 = 0, The equation of bisector line of ∠ B is: x-4y = 10 = 0, the equation of straight line of BC is obtained
12. If | ab | = 8, then the equation of line L is () A. 5x + 12Y + 20 = 0b. 5x-2y + 20 = 0C. 5x + 12Y + 20 = 0 or x + 4 = 0d. 5x-2y + 20 = 0 or x + 4 = 0
13. On the equation of line and circle Given that a = {(x, y) | X-Y + 2 = 0}, B = {(x, y) | (x-t) ^ 2 + (Y-1) ^ 2 = 2}, and a intersection B is not equal to an empty set, then the value range of T is
14. High school mathematics problems - the equation of line and circle The linear equation passing through point P (- 1,2) and parallel to the tangent of curve y = 3x ^ 2-4x + 2 at point (1,1) is?
15. The equation of line and circle in high school mathematics In a triangle, the opposite sides of angle a, angle B and angle c are known to be a, B and C respectively, and a > C > b is an arithmetic sequence, | ab | = 2. The trajectory equation of the vertex is obtained
16. Application of circle and equation The chord length of line L: 2x-y-2 = 0 cut by circle C: (x-3) & sup2; + Y & sup2; = 9
17. When the moving point a moves on the circle x2 + y2 = 1, the trajectory equation of the midpoint of its line with the fixed point B (3,0) is () A. （x+3）2+y2=4B. （x-3）2+y2=1C. （2x-3）2+4y2=1D. （x+3）2+y2=12
18. When a moving point P moves on the circle x 2 + y 2 = 1, the trajectory equation of the midpoint m connecting it with the fixed point a (3,0) is obtained
19. When the moving point a moves on the circle x2 + y2 = 1, the trajectory equation of the midpoint of its line with the fixed point B (3,0) is () A. （x+3）2+y2=4B. （x-3）2+y2=1C. （2x-3）2+4y2=1D. （x+3）2+y2=12
20. When the moving point a moves on the circle x2 + y2 = 1, the trajectory equation of the midpoint of its line with the fixed point B (3,0) is () A. （x+3）2+y2=4B. （x-3）2+y2=1C. （2x-3）2+4y2=1D. （x+3）2+y2=12