If the point P (a, b) is a common point of the straight line x + y = 1 / M and the circle x2 + y2 = 2 / M + 1 / m2, then the value range of AB is

Take the point P to get a + B = 1 / M (1)
a^2+b^2=2/m+1/m^2 (2)
(1) Square of - (2)
It is concluded that (a + b) ^ 2-A ^ 2-B ^ 2 = 1 / m ^ 2-2 / M-1 / m ^ 2
2ab=2/m ab=1/m
All ab = 1 / M

RELATED INFORMATIONS

1. Given that m (x, y) is any point on the circle x ^ 2 + y ^ 2 = 1, find the value range of Y / (x + 2) This problem appears in the section of standard equation of circle. Thank you here
2. Given p (1,2) and circle C: x2 + y2 = 9, make two mutually perpendicular chords through p to intersect C at a and B, and find the trajectory equation of the midpoint of line ab
3. Given the point P (2,2), circle C: x2 + y2-8y = 0, the moving straight line L passing through point P intersects with circle C at two points a and B, the midpoint of line AB is m, and O is the coordinate origin to find the trajectory equation of M
4. Given that the center of the circle is on the straight line 3x + 4y-5 = 0 and tangent to both coordinate axes, the equation of the circle is obtained,
5. The equation of the circle with the diameter of the line segment between the two coordinate axes 3x-4y + 12 = 0 is______ ．
6. The equation of circle C is () A. (x−12)2+(y−3)2＝52B. (x−12)2+(y+3)2＝52C. (x+12)2+(y−3)2＝254D. (x+12)2+(y+3)2＝254
7. It is known that the center coordinate of circle C is (- 1,3), and the circle and the straight line x + Y-3 = 0 intersect at P and Q, and OP is perpendicular to OQ, O is the origin of coordinates, so the equation of circle C is obtained
8. The center of the circle is at the origin, and the radius is 3 It's a process,
9. The equation of the circle with (3,4) as the center and passing through the origin is
10. The equation of the circle with three points P (0,2 times root sign 3) m (1, root sign 7) n (- 2,4) is solved and transformed into standard form
11. Given that circle C1: x2 + y2-2mx + M2 = 4, circle C2: x2 + Y2 + 2x-2my = 8-m2 (M > 3), the positional relationship between the two circles is () A. Intersection B. inscribed C. circumscribed D. separation
12. If the equation x square + y square + 2mx-2y + m square + 5m = 0 represents a circle, find the value range of real number m? Who knows?
13. If the equation of a circle is the square of X, the square of Y, KX 2Y, and the square of k = 0, then the coordinates of the center of a circle are formula x^2+y^2+kx+2y+k^2＝0 (x+k/2)^2+(y+1)^2=1-(3/4)k^2 The circle has the largest area That is, the maximum radius That is, 1 - (3 / 4) k ^ 2 is the largest Then k = 0 Center (0, - 1) radius 1 X ^ 2 + (y + 1) ^ 2 = 1 1 - (3 / 4) k ^ 2 max Then how can we get k = 0
14. Given that the line L: x-2y-5 = 0 and the circle C: x + y = 50, find (1) the coordinates of intersection a and B, and (2) the area of △ AOB Such as the title, to complete the thinking and process
15. Given the circle x2 + Y2 + KX + 2Y = - K2, when the area of the circle is the largest, the coordinate of the center of the circle is______ ．
16. The straight line passing through the point P (- 2,3) is cut by the circle X & sup2; + Y & sup2; - 4x + 2y-2 = 0, and the linear equation of the longest chord is obtained
17. Find the linear equation of the longest and shortest chord of a point P (3,1) in the circle X & sup2; + Y & sup2; - 8x-2y + 8 = 0
18. Given that the point m is on the ellipse x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1, the circle centered on M is tangent to the X axis and the right focus F of the ellipse, if the circle m is compared with the Y axis A. B two points, and the triangle ABM is an equilateral triangle with side length 2, the equation for solving ellipse
19. Given that the line L: x + Y-9 = 0 and the circle M: 2x & sup2; + 2Y & sup2; - 8x-8y-1 = 0, the point a (4, Y0) is on the line L, B and C are two points on the circle M In the triangle ABC, ∠ BCA = 45 ° AB passes through the center of circle m, then the distance from the center of circle m to the straight line AC is
20. Given the circle m; 2x * x + 2Y * y-8x-8y-1 = 0 and the straight line L: x + Y-9 = 0, make a triangle ABC through a point a on the straight line L to make the angle BAC = 45 degrees, AB passes through the center m, and B, C are on the circle M 1: When the abscissa of a is 4, the equation of line AC is obtained 2: Find the value range of abscissa of point a