A(-3 ,2),B (-5 , -5) C(2 , -3) and D(4 , 4) are four points in a plane.Then ABCD is a

A(0,5,6),B(1,4,7),C(2,3,7) and D(3,4,6) are four points in space. The point nearest to the origin O(0,0,0) is (A) A (B) B (C) C (D) D

Show that A(-3,\ 2),\ \ B(-5,\ -5),\ \ C(2,\ -3) and D(4,\ 4) are the vertices of a rhombus.

A\ (6,3),\ B(-3,5),\ C(4,-2)\ a n d\ D(x ,3x) are four points. If Delta' D B C :'Delta'A B C=1:2, then x is equal to a. 11/8 b. 8/11 c. 3 d. none of these

the equationof a plane is 2x-y-3z=5 and A(1,1,1),B(2,1,-3),C(1,-2,-2) and D(-3,1,2) are four points. Which of the following line segments are intersects by the plane? (A) AD (B) AB (C) AC (D) BC

Using vectors show that the points A(-2,3,5), B(7,0,-1), C(-3,-2,-5) and D(3,4,7) are such that AB and CD intersect at the point P(1,2,3).

Show that the points A (5, 6), B(1,5), C(2, 1) and D(6, 2) are the vertices of a square ABCD.

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 .

Show that the points A(3,5),B(6,0), C(1,-3) and D(-2,2) are the vertices of a square ABCD.

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 .

Show that the point A(4,-1,2), B(-3,5,1), C(2,3,4) and D(1,6,6) are coplanar. Also find the equation of the plane passing through these points.