If A(6, 3), B(3, 5), C(4, 2), P`(alpha, beta)`, then the ratio of the areas of the triangles PBC, ABC is

If the coordinate of the point A,B,C and P are A(6,-3),B(-3,5),C(4,-2) and P(alpha,beta) then the ratio of the areas of the triangle PBC and ABC is

If A(6,3),B(-3,5),C(4,-2) and P(a,b) then the ratio of the areas of the triangles PBC,ABC is |a+b|:7 |a-b|:7 |a+b+2|:7 |a+b-2|:7

If A(6,3),B(-3,5),C(4,-2) and P(a,b) then the ratio of the areas of the triangles PBC,ABC is |a+b|=7 |a-b|=7 |a+b+2|=7 |a+b-2|=7

The coordinates of A ,\ B ,\ C are (6,\ 3),\ (-3,\ 5) and (4,\ -2) respectively and P is any point (x ,\ y) . Show that the ratio of the areas of triangles P B C and A B C is |(x+y-2)/7| .

The coordinates of A ,\ B ,\ C are (6,\ 3),\ (-3,\ 5) and (4,\ -2) respectively and P is any point (x ,\ y) . Show that the ratio of the areas of triangles P B C and A B C is |(x+y-2)/7| .

The vertices of a Delta ABC are A (-5,-1), B (3,-5) , C (5,2). Show that the area of the Delta ABC is four times the area of the triangle formed by joining the mid-points of the sides of the triangle ABC.

The coordinates of A,B,C are (6,3),(-3,5) and (4,-2) respectively and P is any point (x,y). Show that the ratio of the areas of triangles PBC and ABC is |(x+y-2)/(7)|

If A(4,-6),B(3,-2) and C(5,2) are the vertices of $ABC, then verify the fact that a median of a triangle ABC divides it into two triangles of equal areas.