Find `(m+n)-:(m-n)`, if :
(i) `m=(2)/(3) "and" n=(3)/(2)`
(ii) `m=(3)/(4) "and" n=(4)/(3)`
(iii) `m=(4)/(5) "and" n=-(3)/(10)`

If (m + n)/(m + 3n) = (2)/(3) , find : (2n^(2))/(3m^(2) + mn) .

If m = (1)/(3-2sqrt(2)) and n = (1)/(3+2sqrt(2)) find : (i) m^(2) (ii) n^(2) (iii) mn

Find the square of : (iii) 2m^(2) - (2)/(3) n^2

If l : m = 2 (1)/(2) : 1(2)/(3) and m : n = 1 (1)/(4) : 3 (1)/(2) , find l : m : n

m and n are two rational numbers such that mxxn=-(25)/(9) . (i) if m=(5)/(3) , find n, (ii) if n=-(10)/(9) , find m.

Find the arithmetic mean of : (i) -5 and 41 (ii) 3x-2y and 3x+2y (iii)) (m+n)^2 and (m-n)^2

Simplify: (16 m^3y^2)/(4m^2y) (2) (32 m^2n^3p^2)/(4m n p)

State which of the following sets of quantum number would be possible and which would not be permisible for an electron in an atom. (i) n=3,I=3,m_(l)=+3, m_(s)=+(1)/(2) (ii) n=3,I=3,m_(l)=+1, m_(s)=-(1)/(2) (iii) n=5,I=4,m_(l)=+3, m_(s)=(1) (iv) n=0,I=0,m_(l)=0, m_(s)=+(1)/(2) (v) n=4,I=3,m_(l)=-2, m_(s)=-(1)/(2)

Find the values of m and n if : 4^(2m)=(root(3)(16))^(-(6)/(n))=(sqrt(8))^(2)