[" thate that the peint "A(0,0),B(3,0),((0,1)&],[D(1,1)" sectem the paralulogram."]

Prove that the points A(0,1), B(1,4), C(4,3) and D(3,0) are the vertices of a square ABCD.

The distinct points A(0,0),B(0,1),C(1,0), and D(2a,3a) are concyclic than

Prove that the point A (0,0,0),B(2,0,0), C(1,sqrt3,0) and D(1,1/sqrt3, (2sqrt2)/sqrt3) are the vertices of a regular tetrahedron.

The point equidistant from the point (0,0,0),(1,0,0,),(0,2,0) and (0,0,3) is (A) (1/3, 2/3, 2) (B) (1,0,2) e (C) (1/2, 1, 3/20 (D) (-1, 2, 1/2)

If A=[(a,b),(c,d)],I=[(1,0),(0,1)] then A^(2)-(a+d)A=

If for a matrix A,A^2+I=0, where I is an identity matrix then A equals (A) [(1,0),(0,1)] (B) [(-1,0),(0,-1)] (C) [(1,2),(-1,1)] (D) [(-i,0),(0,-i)]

The co-ordinates of the point of origin are……………a)(0,0) b)(1,0) c)(0,1) d)(1,1)

Which of the following matrices have eigen values as 1 and -1 ? (a) [(0,1),(1,0)] (b) [(0,1),(1,0)] (c) [(1,0),(0,-1)] (d) [(1,0),(0,1)]

If [(2,1),(3,2)] A[(-3,2),(5,-3)]=[(1,0),(0,1)] then a is equal to (A) [(0,1),(1,1)] (B) [(1,0),(1,1)] (C) [(1,1),(1,0)] (D) [(1,1),(0,1)]

The transformation due of reflection of (x,y) through the origin is described by the matrix (A) [(0,0),(0,0)] (B) [(1,0),(0,1)] (C) [(1,0),(0,-1)] (D) [(0,-1),(-1,0)]