Home
Class 12
MATHS
If a,b,c are respectively the p^(th), q^...

If `a,b,c` are respectively the `p^(th), q^(th) and r^(th)` terms of the given G.P. then show that `(q - r) log a + (r - p) logb + (p - q) log c = 0,` where `a, b, c gt 0`

Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND PROGRESSION

    ALLEN |Exercise Exercise (JA)|10 Videos
  • SEQUENCE AND PROGRESSION

    ALLEN |Exercise Do yourself 2|2 Videos
  • RACE

    ALLEN |Exercise Race 21|13 Videos
  • TEST PAPER

    ALLEN |Exercise CHEMISTRY SECTION-II|16 Videos

Similar Questions

Explore conceptually related problems

The p^(th), q^(th) and r^(th) terms of an A.P. are a, b, c, respectively. Show that (q-r) a+(r-p) b+(p-q)c = 0

If p^(th), q^(th), r^(th) and s^(th) terms of an A.P. are in G.P, then show that (p – q), (q – r), (r – s) are also in G.P.

If the p^("th"), q^("th") and r^("th") terms of a G.P. are a, b and c, respectively. Prove that a^(q – r) b^(r-p) c^(P - q) = 1.

If pth,qth and rth terms of an A.P. are a, b, c respectively, then show that a(q-r)+b(r-p)+c(p-q)=0

The 5^(th), 8^(th) and 11^(th) terms of a G.P are p,q and s , respectively . Show that q^2 =ps .

The pth, (2p)th and (4p)th terms of an AP, are in GP, then find the common ratio of GP.

The p^(th), q^(th) and r^(th) terms of an A.P. are in geometric progression then common ratio for G.P is…….

If the 2nd, 5th and 9th term of A.P. are in G.P, then the common ratio of this GP is

If p^(th),q^(th)and r^(th) tern of G.P are a,b and c respectively then |{:(loga,p,1),(logb,q,1),(logc,r,1):}|=0

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.