a,b,c are distinct positive real numbers, such that a>b>c. if 2 log (a-c), log (a²-c²), log (a²+2b²+c²) are in A.P., then
1) a,b,c are AP
2) a,b,c are in AP
3) a,b,c are in GP
4) a,b,c are in HP.
Answers
Answered by
1
Step-by-step explanation:
than 1
a2+b2+c2−(bc+ca+ab)
=21(2a2+2b2+2c2−2bc−2ca−2ab)
=21((b2+c2−2bc)+(c2+a2−2ca)+(a2+b2−2ab))
=21((b−c)2+(c−a)2+(a−b)2)>0⇒1−(bc+ca+ab)>0⇒bc+ac+ab>1
Answered by
2
Answer:
3) a,b,c are in Gp.
Step-by-step explanation:
right answer ☝️
Similar questions