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
A intersection B is not equal to an empty set, that is, tangent or intersection
Then the distance from the center of the circle to the straight line is less than or equal to the radius
|t-1+2|/√2
RELATED INFORMATIONS
- 1. 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
- 2. 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
- 3. The equation of line and circle If the equation of L1 is 3x-y-1 = 0, then the equation of L2 is
- 4. 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)?
- 5. 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
- 6. How to express the equation of circle in plane rectangular coordinate system?
- 7. How to express the equation of a circle in space? Know the center coordinate, normal vector and radius length of the circle. How to express the equation of the circle? It's the equation of a circle in three-dimensional coordinates~
- 8. 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
- 9. 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?
- 10. 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)
- 11. 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?
- 12. 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
- 13. 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
- 14. 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
- 15. 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
- 16. 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
- 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 the moving point a moves on the square of the circle x + the square of the circle y = 1, the trajectory equation of the midpoint of the line between the moving point a and the fixed point B (- 3,0) is
- 19. If a is known to be a real number, the absolute value of A. a B. - a C. A and the absolute value of D. negative a must be nonnegative
- 20. Why? A. the real number - A ^ 2 is negative. B. the following sign (a ^ 2) = absolute value a The following statement is correct. Why? A. The real number - A ^ 2 is negative B. Follow sign (a ^ 2) = absolute value a C. The absolute value of - a must be positive D. The absolute value of real number - A is a