Consider the points `A = (1, 2)` and `B = (3,-1)`. Let `M` be a point on `x + y = 0` such that `|AM-BM|` is minimum. If `S` denotes area of triangle AMB then `(8S)/13` is.

Consider two points A=(1,2) and B=(3,-1). Let M be a point on the straight line L=x+y=0 If M be a point on the line L=0 such that |AM-BM| is maximum,then the distance of M from N=(1,1) is

consider two points A=(1,2) and B=(3,-1). Let M be a point on the straight line L:x+y=0. If M be a point on the line L=0 such that AM+BM is minum, then the reflection of M in the line x=y is-

Consider two points A -= (1, 2) and B -= (3, –1). Let M be a point on the straight line L -= x + y = 0. If M be a point on the line L = 0 such that AM + BM is minimum, then the reflection of M in the line x = y is

Consider the points O(0,0), A(0,1) , and B(1,1) in the x-y plane. Suppose that points C(x,1) and D(1,y) are chosen such that 0ltxlt1 . And such that O,C, and D are collinear. Let the sum of the area of triangles OAC and BCD be denoted by S. Then which of the following is/are correct?. (a) Minimum value of S is irrational lying in ( 1 / 3 , 1 / 2 ) (b) Minimum value of S is irrational in ( 2 / 3 , 1 ) . (c) The value of x for the minimum value of S lies in ( 2 / 3 , 1 ) . (d) The value of x for the minimum values of S lies in ( 1 / 3 , 1 / 2 ) .

Consider the points O(0,0),A(0,1) , and B(1,1) in the x , y plane. Suppose that points C(x ,1) and D(1,y) are chosen such that 0

Consider the points O(0,0),A(0,1), and B(1,1) in the x-y plane. Suppose that points C(x,1)andD(1,y) are chosen such that 0 < x < 1. And such that O,C,andD are collinear. Let the sum of the area of triangles OAC and BCD be denoted by S. Then which of the following is/are correct?.

Consider the points O(0,0), A(0,1) , and B(1,1) in the x-y plane. Suppose that points C(x,1) and D(1,y) are chosen such that 0ltxlt1 . And such that O,C, and D are collinear. Let the sum of the area of triangles OAC and BCD be denoted by S. Then which of the following is/are correct?.

Consider the points O(0,0), A(0,1) , and B(1,1) in the x-y plane. Suppose that points C(x,1) and D(1,y) are chosen such that 0ltxlt1 . And such that O,C, and D are collinear. Let the sum of the area of triangles OAC and BCD be denoted by S. Then which of the following is/are correct?.

Consider the points O(0,0), A(0,1), and B(1,1) in the x-y plane. Suppose that points C(x,1) and D(1,y) are chosen such that 0ltxlt1. And such that O,C, and D are collinear. Let the sum of the area of triangles OAC and BCD be denoted by S. Then which of the following is/are correct?.

Let P be a variable point on the ellipse x^(2)/25 + y^(2)/16 = 1 with foci at S and S'. If A be the area of triangle PSS' then the maximum value of A, is