A.P/G.P/H.P

if its objective , i can help :)

take a=b=c=1, p=q=r=1.
then ap=bq=cr=1

then for p/r+r/p = 2 , we can eliminate options 1 and 4.
since they will give 0.

now take some suitable value : a=1,b=2,c=3
p=1,q=1/2 , r=1/3

then ap=1, bq=1, cr=1

for these values we have, p/r+r/p=3+1/3

so clearly the same value is given by c/a+a/c.

hence opton (a) is correct .. :)

is 'a' correct b/w (90% sure :P) ;)

we have

b²q²=acpr ...(1)
2b=a+c ........(2)
2/q=(p+r)/pr ......(3)

substitute b and q from (2) and (3) and put it in (1)

(a+c)²/4 * 4p²r²/(p+r)²=acpr
or
(p+r)²/pr=(a+c)²/ac

or p/r+r/p=a/c+c/a