If `0 < theta < 2pi`, then the intervals of values of ? for which `2sin^2theta-5sintheta+2>0`, is

Volume of tetrahedron with vertices at (0, 0, 0), (1, 0, 0), (0, 1, 0), (0, 0, 1) is

The point equidistant from (a, 0, 0), (0, a, 0), (0, 0, a) and (0, 0, 0) is:

The point equidistant from the point (0,0,0),(1,0,0,),(0,2,0) and (0,0,3) is

Which of the following is (are) NOT the square of a 3xx3 matrix with real entries? (a)[[1, 0, 0],[ 0, 1, 0],[ 0, 0,-1]] (b) [[-1, 0, 0] ,[0,-1, 0],[ 0, 0, -1]] (c)[[1, 0, 0],[ 0, 1, 0],[ 0, 0, 1]] (d) [[1, 0, 0],[ 0,-1, 0],[ 0, 0,-1]]

If A = [[x,0,0],[0,y,0],[0,0,z]] , is a non-singular matrix then find A^-1 by elementary transformations, Hence, find the inverse of [[2,0,0],[0,1,0],[0,0,-1]]

The volume of the tetrabodron with vertices at (0,0,0), (1,0,0),(0,1,0), (0,0,1) is

If A = [{:( 0,0,0),(0,0,0) ,(0,1,0):}] ,then A is

If A=[[a, 0, 0], [0, a, 0], [0, 0, a]] , then |A||adjA|=

If A=[[a, 0, 0], [0, a, 0], [0, 0, a]] , then |adjA|=