If a,b,c,d and p are distinct real numbers such that (a2 + b2+ c2)p2 - 2p(ab+ bc+ cd) + (b2+ - Maths - Application of Integrals

Question

If a,b,c,d and p are distinct real numbers such that
(a2 + b2+ c2)p2 -
2p(ab+ bc+ cd) + (b2+ c2+ d2) is
less than equal to 0, then: :
a a,b,c,d, ar in AP
b a,b,c,d, are in GP
c ac = bd
d ab = cd

Pooja · Accepted Answer

Here is the link for the answer to your query

https://www meritnation
com/ask-answer/question/if-a-b-c-d-and-p-are-different-real-numbers-such-that-a2-b/sequences-and-series/2953180

If a,b,c,d and p are distinct real numbers such that (a2 + b2+ c2)p2 - 2p(ab+ bc+ cd) + (b2+ c2+ d2) is less than equal to 0, then: : a. a,b,c,d, ar in AP b. a,b,c,d, are in GP c. ac = bd d. ab = cd

If a,b,c,d and p are distinct real numbers such that (a² + b²+ c²)p² - 2p(ab+ bc+ cd) + (b²+ c²+ d²) is less than equal to 0, then: :

a. a,b,c,d, ar in AP

b. a,b,c,d, are in GP

c. ac = bd

d. ab = cd