If a,b,c are positive and are the pth, q...

If a,b,c are positive and are the `pth, qth rth` terms respectively of a GP then `|(loga,p,1),(logb,q,1),(logc, r,1)|=`

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If a , b , c are all positive and are pth ,qth and rth terms of a G.P., then show that =|(loga, p,1),(logb, q,1),(logc ,r,1)|=0

If a,b,c be the pth, qth and rth terms respectively of a H.P., the |(bc,p,1),(ca,q,1),(ab,r,1)|= (A) 0 (B) 1 (C) -1 (D) none of these

If a gt 0, b gt 0, c gt0 are respectively the pth, qth, rth terms of a G.P., then the value of the determinant |(log a,p,1),(log b,q,1),(log c,r,1)| , is

If a, b, c be the pth, qth and rth terms respectively of a HP, show that the points (bc, p), (ca, q) and (ab, r) are collinear.

If the pth, qth and rth terms of a G.P, are x,y and z repectively, then prove that |{:(logx,p,1),(logy,q,1),(logz,r,1):}|=0

If a , b ,and c are respectively, the pth, qth , and rth terms of a G.P., show that (q-r)loga+(r-p)logb+(p-q)logc=0.

If a , b ,a n dc are respectively, the pth, qth , and rth terms of a G.P., show that (q-r)loga+(r-p)logb+(p-q)logc=0.

If a ,b ,c are respectively the p^(t h),q^(t h)a n dr^(t h) terms of a G.P. show that (q-r)loga+(r-p)logb+(p-q)logc=0.

If a, b, c are the pth, qth, rth terms respectively of an H.P. , then the lines bcx + py+1=0, cax + qy+1=0 and abx+ry+1=0 (A) are concurrent (B) form a triangle (C) are parallel (D) none of these

If a , b , c are all positive and are p t h ,q th and r t h terms of a G.P., then '\begin{vmatrix} log a & p & 1 \\ log b & q & 1 \\ log c & r & 1 \\ \end{vmatrix}=0

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