Home
Class 11
MATHS
यदि किसी गुणोत्तर श्रेणी के P वें, q वें...

यदि किसी गुणोत्तर श्रेणी के P वें, q वें तथा r वें पद क्रमशः x, y, z है, तो सिद्ध करो कि
`(q-r)logx+(r-P)logy+(P-q)logz=0` या, `|(logx,P,1),(logy,q,1),(logz,r,1)|=0.`

Promotional Banner

Similar Questions

Explore conceptually related problems

|(0,p-q,p-r),(q-p,0,q-r),(r-p,r-q,0)|=

If x,y,z are positive and are the pth, qth and rth terms of a G.P. then prove that |[logx,p,1],[logy,q,1],[logz,r,1]|=0

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 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

What is the value of abs((1,log_x y, log_x z),(log_y x,1,log_y z),(log_z x,log_z y, 1)) ?

Prove that , |[1,log_x^y,log_x^z],[log_y^x,1,log_y^z],[log_z^x,log_z^y,1]|=0

If logx/(y-z)=logy/(z-x)=logz/(x-y) prove that xyz=1

If x, y and z are in G.P, then show that logx, logy, logz are in A.P.