[2-6],[1],[-quad -2],[hline]

[" 8"," I "],[" M ",(1)/(*)],[,(4)/(4)],[,(9)/(2)],[,(9)/(9)],[,9],[hline,(4)/(3)],[+,9],[hline,1],[,7],[,3],[,9],[hline,1],[hline,-,(1)/(3)],[,,]

[" A parallel plate capacitor is "],[" constructed using three different "],[" dielectric materials as shown in fig."],[" The parallel plates across which a "],[" potential difference is applied are of "],[" area A and are separated by a "],[" distance d.The capacitance across A "],[" and B is "(xK in_(0)A)/(y)" .Find xy? ( "x,y" are "],[" smallest possible integers)."],[qquad [hline A,2k],[hline4k,k],[hline-d/2rarr A/2rarr]],[hline]

Find the rank of matrix : A= [[1,2,-2,3],[2,5,-4,6],[-1,-3,2,-2],[2,4,-1,6]]

|[x+2,x+6,x-1],[x+6,x-1,x+2],[x-1,x+2,x+6]|=

Let A+2B=[(1,2,0),(6,-1,3),(-5,3,1)] and 2A-B=[(2,-1,5),(2,-1,6),(0,1,2)], then find tr(A)-tr(B).

Let A+2B=[(1,2,0),(6,-1,3),(-5,3,1)] and 2A-B=[(2,-1,5),(2,-1,6),(0,1,2)], then find tr(A)-tr(B).

The length of the projection of the vector (1,-2,-1) on the vector joining the points (2,2,-6) and (6,-2,1) is

The cosine of the angle of the triangle with vertices A(1,-1,2),B(6,11,2) and C(1,2,6) is

The cosine of the angle of the triangle with vertices A(1,-1,2),B(6,11,2) and C(1,2,6) is

(2) Find the rank of the matrix A=[[1,2,3,-1],[3,6,9,-3],[2,4,6,-2]]