Let A(1, 2), B(3, 4) be two points and C(x, y) be a point such that area of `DeltaABC` is 3 sq. units and `(x- 1)(x-3)+ (y-2)(y-4)=0`. Then number of positions of C, in the xy plane is

Let A(1, 2) and B(3, 4) be two points. Let C(x, y) be a point such that (x-1)(x-3)+(y-2)(y-4)=0 . If ar (DeltaABC)=1 , then the maximum number of positions of C in xy-plane is :

Let A(1, 1, 1), B(3, 7, 4) and C (-1, 3, 0) be three points in a plane. Area of the triangle ABC is (in sq. units)

Let A(1, 1, 1), B(3, 7, 4) and C (-1, 3, 0) be three points in a plane. Area of the triangle ABC is (in sq. units)

Let P(2,-4) and Q(3,1) be two given points. Let R(x, y) be a point such that (x-2)(x-3)+(y-1)(y+4)=0 .If area of Delta PQR is (13)/(2) , then the number of possible positions of R are

Let A=(1,2), B=(3,4) and C=(x,y) lie on the circumcircle of triangle ABC having AB as a diameter such that area of triangle ABC=1 the maximum number of position of C in the x-y plane is:

Let A=(1,2),B=(3,4) and C=(x,y) lie on the circumcircle of triangle ABC having AB as a diameter such that area of triangle ABC=1 the maximum number of position of C in the x -y plane is:

Let two points be A(1,-1) and B(0,2) . If a point P(x',y') be such that the area of DeltaPAB = 5sq.unit and it lies on the line 3x+y-4lambda=0 then value of lambda is

Let two points be A(1,-1) and B(0,2) .If a point P(h,k) be such that the area of Delta PAB=5 sq units and it lies on the line 3x+y-4 lambda=0 then a value of lambda is