Question

If log.-), logoc), loga-28+) are in A.P then
a) a,b,c are in A.P
b) a, b, care in AP
c) a, b, c are in G.P
d) a, b, c are in H.P​

Answer 1

Answer:

A.a,b,c are in A P.

Step-by-step explanation:

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Answer 2

Answer:

loga,logb,logc are in A.P.

⇒2logb=loga+logc

⇒logb

2

=log(ac)

⇒b

2

=ac⇒a,b,c are in G.P.

loga−log2b,log2b−log3c,log3c−loga are in A.P.

⇒2(log2b−log3c)=(loga−log2b)+(log3c−loga)

⇒3log2b=3log3c⇒2b=3c

Now, b

2

=ac⇒b

2

=a.

3

2b

⇒b=

3

2a

,c=

9

4a

i.e., a=a,b=

3

2a

,c=

9

4a

⇒a:b:c=1:

3

2

:

9

4

=9:6:4

Since, sum of any two is greater than the 3

rd

,a,b,c form a triangle.

Step-by-step explanation:

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