[m-(m-1)/(2)=1-(m-2)/(3)],[G=0]

m(m-1)(m-2)...3.2.1=

If m+ (1)/(m-2)=0 , find (m-2)^(12) + (1)/((m-2)^(11))= ?

Let M be a 3xx3 matrix satisfying M[{:(0),(1),(0):}]=[{:(-1),(2),(3):}],M[{:(1),(-1),(0):}]=[{:(1),(1),(1):}]=[{:(0),(0),(12):}] then the sum of the diagonal entries of M is

If M is a 2xx2 matrix such that M[(1),(-1)]=[(-1),(2)] and M^(2)[(1),(-1)]=[(1),(0)] then sum of elements of M is

(i) Find the value of 'a' if the lines 3x-2y+8=0 , 2x+y+3=0 and ax+3y+11=0 are concurrent. (ii) If the lines y=m_(1)x+c_(1) , y=m_(2)x+c_(2) and y=m_(3)x+c_(3) meet at point then shown that : c_(1)(m_(2)-m_(3))+c_(2)(m_(3)-m_(1))+c_(3)(m_(1)-m_(2))=0

(i) Find the value of 'a' if the lines 3x-2y+8=0 , 2x+y+3=0 and ax+3y+11=0 are concurrent. (ii) If the lines y=m_(1)x+c_(1) , y=m_(2)x+c_(2) and y=m_(3)x+c_(3) meet at point then shown that : c_(1)(m_(2)-m_(3))+c_(2)(m_(3)-m_(1))+c_(3)(m_(1)-m_(2))=0

If E and G respectively denote energy and gravitational constant,then (E)/(G) has the dimensions of: (1) [M^(2)][L^(-2)][T^(-1)] (2) [M^(2)][L^(-1)][T^(0)] (3) [M][L^(-1)][T^(0)] (4) [M][L^(0)][T^(0)]

Explain, given reasons, which of the following sets of quantum numbers are not possible. (1) n=0,l=0,m_(l)=0,m_(S)+(1)/(2) (2) n=1,l=0,m_(l)=0,m_(S)=-(1)/(2) (3) n=1,l=1,m_(l)=0,m_(S)=+(1)/(2) (4) n=2, l=1, m_(1)=0,m_(S)=-(1)/(2) (5) n=3, l=3, m_(l)=-3,m_(S)=+(1)/(2) (6) n=4, l=1, m_(l)=0,m_(S)=+(1)/(2) .