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) be two points and C(x,y) be a point such that area of Delta ABC 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 P(2,-1,4) and Q(4,3,2) are two points and as point R on PQ is such that 3PQ=5QR , then the coordinates of R are

The straight line (x)/(4)+(y)/(3)=1 intersects the ellipse (x^(2))/(16)+(y^(2))/(9)=1 at two points A and B there is a point P on this ellipse such that the area of Delta PAB is equal to 6(sqrt(2)-1) . Then the number of such point (P) is/are (A) 4 (B) 1 (C) 2 (D) 3

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

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