VIP and POOL status using RestAPi

but how do we get vip name and pool name from the ip

I'm not aware of a way to get this directly from the REST API via a filter, so you'd probably have to get the entire collection then parse it however you see fit.

If you provided the scripting language or technology you're using to make the calls I'm sure someone will throw up a script sample for you. In PowerShell, this would be the basic script example:

$LTM = yourltmname.yourdomain.com

Powershell Credential Object
$LTMCredentials = Get-Credential

Builds the URI string for the Invoke-RestMethod cmdlet
$VIPListURI = ("https://$LTM/mgmt/tm/ltm/virtual?ver=12.1.1&expandSubcollections=true")

returns the result of Invoke-RestMethod to $vipresult.  $vipResult.items contains the array of VIPs
$vipResult = Invoke-RestMethod -Method Get -Uri $VIPListURI -Credential $LTMCredentials

simple Where-Object filter on destination IP:PORT
$vipResult.items | Where-Object -Property "destination" -eq "/partition_name/100.100.100.100:80"

This is the sample result data from a single VIP, just for reference.

kind                       : tm:ltm:virtual:virtualstate
name                       : vip_name
partition                  : partition_name
fullPath                   : /partition_name/vip_name
generation                 : 1
selfLink                   : https://localhost/mgmt/tm/ltm/virtual/~partition_name~vip_name?ver=12.1.1
addressStatus              : yes
autoLasthop                : default
cmpEnabled                 : yes
connectionLimit            : 0
destination                : /partition_name/100.100.100.100:80
enabled                    : True
gtmScore                   : 0
ipProtocol                 : tcp
mask                       : 255.255.255.255
mirror                     : disabled
mobileAppTunnel            : disabled
nat64                      : disabled
pool                       : /partition_name/pool_name
poolReference              : @{link=https://localhost/mgmt/tm/ltm/pool/~partition_name~pool_name?ver=12.1.1}
rateLimit                  : disabled
rateLimitDstMask           : 0
rateLimitMode              : object
rateLimitSrcMask           : 0
serviceDownImmediateAction : none
source                     : 0.0.0.0/0
sourceAddressTranslation   : @{type=none}
sourcePort                 : preserve
synCookieStatus            : not-activated
translateAddress           : enabled
translatePort              : enabled
vlansDisabled              : True
vsIndex                    : 37
rules                      : {/Common/snat_samesubnet_common}
rulesReference             : {@{link=https://localhost/mgmt/tm/ltm/rule/~Common~snat_samesubnet_common?ver=12.1.1}}
policiesReference          : @{link=https://localhost/mgmt/tm/ltm/virtual/~partition_name~vip_name_80_uat/policies?ver=12.1.1; isSubcollection=True}
profilesReference          : @{link=https://localhost/mgmt/tm/ltm/virtual/~partition_name~vip_name_80_uat/profiles?ver=12.1.1; isSubcollection=True; items=System.Object[]}