2. Which one of the following ionic species does not exist (AIIMS) 1) [SnC1,12 2) [SICI,12- 3) [CC112- [GeC112-

What one of the following is correct ? (1+cos67(1^(@))/(2))(1+cos112(1^(@))/(2)) is

Find the inverse of the following, if it exists, using elementary row (column) transformations: {:[(-1,1,2),(1,2,3),(3,1,1)]

Find the rank of each of the following matrices: (i) [{:(3,2,5),(1,1,2),(3,3,6):}] (ii) [{:(4,3,1,-2),(-3,-1,-2,4),(6,7,-1,2):}]

Direction ratios of the normal to the plane passing through the point (0,1,1),(1,1,2) and (-1,2,-2) are

Find the area of the triangle with vertices A(1,12), B(2,3,5), C(1,5,5)

Which of the following will weigh maximum amount? (a). 20 g iron, (b) 1.2 g atom of N , (c ) 1xx10^(23) atoms of carbon, (d) 1.12 litre of O_(2) at STP .

For the following pairs of matrices, determine the sum and difference, if they exist. 1. A=((1,-1,2),(0,1,3))B=((2,1.5,6),(-3,2+i,0)) 2.A=((1,0),(3,-4))B=((1,1,2),(0,-2,0))

The inverse of [(3,5,7),(2,-3,1),(1,1,2)] is

Find the coordinates of the in-centre of the triangle with vertices A(-1,12), B(-1,0) and C (4,0).