In a `Delta ABC, A -= (alpha, beta), B -= (1, 2), C -= (2,3)` and point A lies on the line y = 2 x + 3 where `alpha, beta in l`. If the area of `Delta ABC` be such that `[Delta]=2`, where [.] denotes the greatest integer function, find all possible coordinates of A.

In a A B C ,A-=(alpha,beta),B-=(1,2),C-=(2,3), point A lies on the line y=2x+3, where alpha,beta are integers, and the area of the triangle is S such that [S]=2 where [ . ] denotes the greatest integer function. Then the possible coordinates of A can be (a) (-7,-11) (b) (-6,-9) (c) (2,7) (d) (3,9)

In a DeltaABC , A =(h,7) , B = (1,2) , C =(2,3) If the area of DeltaABC be such that [Delta]=2 , (where [.] denotes the greatest inteher function ),find h.

In a triangle A B C ,A=(alpha,beta)B=(2,3),a n dC=(1,3)dot Point A lies on line y=2x+3, where alpha in Idot The area of A B C , , is such that [Delta]=5 . The possible coordinates of A are (where [.] represents greatest integer function). (a)(2,3) (b) (5,13) (-5,-7) (d) (-3,-5)

In a Delta ABC, points A and B are (4, 5) and (h, k) respectively. If the equation to the angle bisector of B is y=x and the orthocentre of the triangle is (3,3) then the value of [h+k], where [.] denotes the greatest integer function, is

If the centroid of triangles formed by the vertices (1, 2, 3), (2, 1, 0) and (3, 1, 4) is (alpha, beta, gamma) then the value of [alpha]+[beta]+[gamma], where [ ] represents the greatest integer function, is _______.

Let O be an interior point of Delta ABC such that bar(2OA)+bar(5OB)+bar(10OC)=bar 0. If the ratio of the area of Delta ABC to the area of Delta AOC is t, where 'O' is the origin. Find [t].(where [ ] denotes greatest integer function)

Family of lines x(a+b)+y=1 where a and b are roots of the equation x^(3)-3x^(2)+x+lambda=0 and [a+b]=1 (where I.] denotes the greatest integer function) such that it intercepts a triangle of area A with coordinate axes,then A_(max) is

Let ABC be a triangle with vertices (2,2), (3,1) , (5,3) and co-ordinate of its circum-centre is (alpha,beta) then alpha-beta=

If point P(alpha,alpha^(2)-2) lies inside the triangle formed by the lines x+y=1,y=x+1 and y=-1 then alpha in

The points (2, 1), (3, -2) and (alpha, beta) form a triangle of area 4 square units. If the point (alpha, beta) lies on the line y=x+3 then the value of alpha+beta is (are)