The coordinates of A, B, C, D are `(6, 3), (-3, 5), (4, -2) and (x, 3x)` respectively. If Area of `(DeltaDBC)/(DeltaABC )`= 1/2`, find x

The coordinates of points A,B,C and D are (-3, 5), (4, -2), (x, 3x) and (6, 3) respectively and Area of (Delta ABC)/(Delta BCD)=(2)/(3) ,find x.

Four points A(6,3),\ B(-3,5),\ C(4,-2)a n d\ D(x ,3x) are given in such a way that ( Delta D B C)/( Delta A B C)=1/2 ,find x

Four points A(6,\ 3),\ \ B(-3,\ 5),\ \ C(4,\ -2) and D(x ,\ 2x) are given in such a way that area of ( D B C)/( A B C)=1/2 , find x .

Four points A(6,\ 3),\ \ B(-3,\ 5),\ \ C(4,\ -2) and D(x ,\ 3x) are given in such a way that ( D B C)/( A B C)=1/2 , find x .

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| .

If the coordinates of the points A, B, C, D be (1, 2, 3) , (4, 5, 7) , ( 4, 3, 6) and (2, 9, 2) respectively, then find the angle between the lines AB and CD.

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

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

If the coordinates of the points A,B,C,D be (1,2,3),(4,5,7),(4,-3,6) and (2,9,2) respectively then find the angle between AB and CD.

The base and the altitude of a triangle are (3x - 4y) and (6x + 5y) respectively. Find its area.