[" 32.If "a,b,c" are the "p^(" th "),q^(" th "),r^(" th ")" terms in "H,P" ."],[" then "|[bc,p,1],[ca,q,1],[ab,r,1]|=]

If a,b,c are the p^(th),q^(th),r^(th) terms in H.P.then det[[ca,q,1ab,r,1]]=

If a b c are the p^(th),q^(th) and r^(th) terms of an AP then prove that sum a(q-r)=0

If l, m, n are the p^(th), q^(th), r^(th) terms of a G.P which are +ve, then |(log l,p,1),(log m ,q,1),(log n ,r,1)|=

If a,b,c are p^(pt),q^(th) and r^(th) terms of an A.P., find the value of |(a,b,c),(p,q,r),(1,1,1)| .

If a,b,c be respectively the p^(th),q^(th)andr^(th) terms of a H.P., then Delta=|{:(bc,ca,ab),(p,q,r),(1,1,1):}| equals

If a,b,c be respectively the p^(th),q^(th)andr^(th) terms of a H.P., then Delta=|{:(bc,ca,ab),(p,q,r),(1,1,1):}| equals

If a,b,c are respectively the p^(th),q^(th),r^(th) terms of an A.P.,then prove that a(q-r)+b(r-p)+c(p-q)=0

If a, b, c are respectively the p-th, q-th, r-th terms of an A.P. then the value of |(a,p,1),(b,q,1),(c,r,1)| is -

If a^(-1), b^(-1), c^(-1) are p^(th),q^(th) and r^(th) terms of an AP then the value of |(bc,ca,ab),(p,q,r),(1,1,1)| is

If a,b,c are positive and ar the p^(th),q^(th),r^(th) terms respectively of a G.P show that, |{:(,log a,p,1),(,log b,q,1),(,log c,r,1):}|=0