आपके जूते कहाँ हैं?

Because आपका / आपकी / आपके must agree with the noun being possessed, not with the person आप.

Here, the possessed noun is जूते (shoes), which is masculine plural, so the correct form is आपके.

A quick comparison:

• आपका जूता = your shoe
• आपके जूते = your shoes
• आपकी किताब = your book

So in आपके जूते कहाँ हैं?, आपके matches जूते.

The dictionary form is जूता, which means shoe.

जूते is the plural form:

• जूता = shoe
• जूते = shoes

So the sentence uses the plural noun जूते.

Because जूते is plural, and the verb to be agrees with that.

• जूता कहाँ है? = Where is the shoe?
• जूते कहाँ हैं? = Where are the shoes?

So है is singular, while हैं is plural (and also used with respectful you in some contexts, but here the main reason is that जूते is plural).

कहाँ means where.

In Hindi, it often appears before the verb:

• जूते कहाँ हैं? = Where are the shoes?
• आप कहाँ हैं? = Where are you?

So the pattern is often:

[thing/person] + कहाँ + है/हैं

Literally, this sentence is close to Your shoes where are?

Yes. English says:

Where are your shoes?

Hindi says:

आपके जूते कहाँ हैं?

Literally:

Your shoes where are?

Hindi often puts the thing being talked about first, then the question word, then the verb. This is very normal and natural in Hindi.

Yes. आप is used for you in a respectful way, and it can refer to one person respectfully or more than one person.

So आपके जूते can mean:

• your shoes (speaking respectfully to one person)
• your shoes (speaking to multiple people)

The exact meaning depends on context.

Because that would mix the wrong forms together.

If you want to say your shoe, it should be:

• आपका जूता कहाँ है? = Where is your shoe?

If you want to say your shoes, it should be:

• आपके जूते कहाँ हैं? = Where are your shoes?

So both the possessive and the noun change form:

• आपका + जूता + है
• आपके + जूते + हैं

In casual spoken Hindi, people do sometimes drop है/हैं in conversation, especially if the meaning is obvious.

So you may hear:

• आपके जूते कहाँ?

But the full, standard sentence is:

• आपके जूते कहाँ हैं?

For learners, it is best to use the full form.

The basic structure stays the same, but the possessive changes:

• तुम्हारे जूते कहाँ हैं? = Where are your shoes?
• तेरे जूते कहाँ हैं? = Where are your shoes?

These differ in tone:

• आपके = respectful/polite
• तुम्हारे = familiar/neutral
• तेरे = very informal, intimate, or sometimes rude depending on context

So आपके जूते कहाँ हैं? is the polite version.

A simple pronunciation guide is:

aap-ke joo-te ka-haan hain

A slightly more natural transliteration:

aapke joote kahaan hain

A few notes:

• आपके = aap-ke
• जूते = joo-te
• कहाँ has a nasal sound at the end: kahaan
• हैं is often pronounced somewhat like hain or hen depending on region and speed

In this sentence, no. Here जूते is clearly plural: shoes.

But learners sometimes get confused because in Hindi some masculine nouns change form in different grammatical situations. For जूता, the form जूते can also appear in other contexts, such as oblique singular. However, in आपके जूते कहाँ हैं?, the plural verb हैं makes it clear that जूते means shoes.

So here:

• जूते + हैं = plural

Usually it means your shoes, which in normal English often refers to a pair of shoes.

Hindi uses the plural जूते, just like English often uses shoes for a pair:

• Where are your shoes?

Depending on context, it could also mean multiple shoes, but most often people simply mean the pair someone wears.

Word by word:

• आपके = your
• जूते = shoes
• कहाँ = where
• हैं = are

So the literal order is:

Your shoes where are?

That is a very useful way to understand Hindi sentence structure, even though the natural English translation is Where are your shoes?