If `I, m and n` are real numbers such that `l^2 + m^2 + n^2 = 0` , then show that `[[1+l^2,lm,ln],[lm,1+m^2,mn],[ln,mn,1+n^2]]=1`

If l,m and n are real numbers such that l^2+m^2+n^2=0 , then show that |{:(1+l^2,lm,ln),(lm,1+m^2,mn),(ln,mn,1+n^2):}|=1

If l, m and n are real numbers such that l^(2)+m^(2)+n^(2)=0 , then |(1+l^(2),lm,l n),(lm,1+m^(2),mn),(l n,mn,1+n^(2))| is equal to a)0 b)1 c) l+m+n+2 d) 2(l+m+n)+3

If x/(lm-n^2)=y/(mn-l^2)=z/(nl-m^2) , then show that lx+my+nz=0

Add the following: l^2 + m^2, m^2 + n^2, n^2 + l^2, 2lm + 2mn + 2nl

If x/(lm - n^(2)) = y/(mn - l^(2)) = z/(nl - m^(2)) , then show that lx + my + nz = 0 .

If m is the A.M. of two distinct real numbers l and n""(""l ,""n"">""1) and G1, G2 and G3 are three geometric means between l and n, then G1 4+2G2 4+G3 4 equals, (1) 4l^2 mn (2) 4l^m^2 mn (3) 4l m n^2 (4) 4l^2m^2n^2

If m is the A.M. of two distinct real numbers l and n""(""l ,""n"">""1) and G1, G2 and G3 are three geometric means between l and n, then G1 4+2G2 4+G3 4 equals, (1) 4l^2 mn (2) 4l^m^2 mn (3) 4l m n^2 (4) 4l^2m^2n^2

If m is the A.M. of two distinct real numbers l and n""(""l ,""n"">""1) and G1, G2 and G3 are three geometric means between l and n, then G1 ^4+2G2 ^4+G3^ 4 equals, (1) 4l^2 mn (2) 4l^m^2 mn (3) 4l m n^2 (4) 4l^2m^2n^2