If `|{:(a,b,c),(l,m,n),(p,q,r):}|=2`, then what is the value of the determinant `|{:(6a,3b,15c),(2l,m,5n),(2p,q,5r):}|`?

If a^(p)=b^(q)=c^(r) and b^(2)=ac then what is value of q(p+r)/pr]

If k=1,l=2,m=0,p=3,q=4,r=5 then find the values of (3k^2)/p^2 and (kr^k)/q^l

If p,q and r are in AP the value of determinant |{:(a^(2)+2^(n+1)+2p,b^(2)+2^(n+2)+2q,c^(2)+p),(2^(n)+p,2^(n+1)+q,2q),(a^(2)+2^(n)+p,b^(2)+2^(n+1)+q,c^(2)-r):}| is

If p,q and r are in AP the value of determinant |{:(a^(2)+2^(n+1)+2p,b^(2)+2^(n+2)+2q,c^(2)+p),(2^(n)+p,2^(n+1)+q,2q),(a^(2)+2^(n)+p,b^(2)+2^(n+1)+q,c^(2)-r):}| is

If p+q+r=0=a+b+c , then the value of the determinant |[p a, q b, r c],[ q c ,r a, p b],[ r b, p c, q a]|i s (a) 0 (b) p a+q b+r c (c) 1 (d) none of these

If p+q+r=0=a+b+c , then the value of the determinant |[p a, q b, r c],[ q c ,r a, p b],[ r b, p c, q a]|i s (a) 0 (b) p a+q b+r c (c) 1 (d) none of these

Let |(a,l,m),(l,b,n),(m,n,c)||(bc-n^2,mn-lc,ln-bm),(mn-lc,ac-m^2,ml-an),(ln-bm,lm-an,ab-l^2)|=64. If the value of |(2a+3l,3l+5m,5m+4a),(2l+3b,3b+5n,5n+4l),(2m+3n,3n+5c,5c+4m)|=lambda then [lambda/2] equals

Let |(a,l,m),(l,b,n),(m,n,c)||(bc-n^2,mn-lc,ln-bm),(mn-lc,ac-m^2,ml-an),(ln-bm,lm-an,ab-l^2)|=64. If the value of |(2a+3l,3l+5m,5m+4a),(2l+3b,3b+5n,5n+4l),(2m+3n,3n+5c,5c+4m)|=lambda then [lambda/2] equals

Let |(a,l,m),(l,b,n),(m,n,c)||(bc-n^2,mn-lc,ln-bm),(mn-lc,ac-m^2,ml-an),(ln-bm,lm-an,ab-l^2)|=64. If the value of |(2a+3l,3l+5m,5m+4a),(2l+3b,3b+5n,5n+4l),(2m+3n,3n+5c,5c+4m)|=lambda then [lambda/2] equals

If p ,q ,r are in A.P. then value of determinant |[a^2+2^(n+1)+2p, b^2+2^(n+2)+3q, c^2+p], [2^n+p, 2^(n+1), 2q], [a^2+2^n+p, b^2+2^(n+1), c^2-r]| is (a) 0 (b) Independent from a , b , c (c) a^2b^2c^2-2^n (d) Independent from n