Home
Class 11
MATHS
If a,b, c, d are in G.P., prove that (a^...

If a,b, c, d are in G.P., prove that `(a^2-b^2), (b^2 - c^2), (c^2 - d^2)` are in G.P. and ` 1/(a^2+b^2), 1/(b^2 + c^2), 1/(c^2 + d^2)` are in G.P

Text Solution

Verified by Experts

The correct Answer is:
G.P.
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise EXERCISE|7 Videos

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise REVESION EXERCISE|43 Videos

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 40|1 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Chapter Test|11 Videos

  • SETS

    MODERN PUBLICATION|Exercise CHAPTER TEST 1|12 Videos

Similar Questions

Explore conceptually related problems

If a, b, c, d are in GP, prove that (a^(2)-b^(2)), (b^(2)-c^(2)), (c^(2)-d^(2)) are in GP.

If a, b, c are in GP, prove that a^(2), b^(2), c^(2) are in GP.

If a,b,c,d are in G.P.prove that: (ab-cd)/(b^(2)-c^(2))=(a+c)/(b)

If a,b,c,d are in G.P.prove that: (a^(2)+b^(2)),(b^(2)+c^(2)),(c^(2)+d^(2)) are in G.P.(a^(2)-b^(2)),(b^(2)-c^(2)),(c^(2)-d^(2)) are in G.P.(1)/(a^(2)+b^(2)),(1)/(b^(2)+c^(2)),(1)/(c^(2)+d^(2)) are in G.P.(a^(2)+b^(2)+c^(2)),(ab+bc+cd),(b^(2)+c^(2)+d^(2))

If a,b,c,d………are in G.P., then show that (a-b)^2, (b-c)^2, (c-d)^2 are in G.P.

If a,b,c,d are in G.P.then (a^(2)-b^(2)),(b^(2)-c^(2)),(c^(2)-d^(2)) are in

If a,b,c,d are in G.P.prove that: (i) quad (a^(2)-b^(2)),(b^(2)-c^(2)),(c^(2)-d^(2)) are in G.P. (i) (1)/(a^(2)+b^(2)),(1)/(b^(2)+c^(2)),(1)/(c^(2)+d^(2)) are in G.P.

If a,b,c are in G.P., then show that : (a^2-b^2)(b^2+c^2)=(b^2-c^2)(a^2+b^2)

If a, b, c, d are in GP, prove that (b-c)^(2)+(c-a)^(2)+(d-b)^(2)=(a-d)^(2) .

If a, b, c, d are in GP, then prove that 1/((a^(2)+b^(2))), 1/((b^(2)+c^(2))), 1/((c^(2)+d^(2))) are in GP.