Q. What is path function

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Q. Why heat is a path function? How can we verify if a quantity is a path function?

Q. Which of the following is not a path function ?

Q. Assertion :Derivative of

(p x + q) (\frac{r}{x} + s)

p s + \frac{q r}{x^{2}}

Reason:

\frac{d}{d x} (u v) = u^{'} v + u v^{'}

where

u

and

v

are two distinct functions.

'PQRS' is a rectangular park. A rhombus 'cdef' is inscribed in it by joining the midpoints of sides PQ, QR, RS, and SP. Person 1 walks along the path $P \to Q \to R \to S \to P$ and another person 2 walks along path $c \to d \to e \to f \to c$ .
If person 2 wants to catch person 1 at point 'e', then what path should person 2 follow and what will be the length of it?
It is given that PQ = 20 m and QR = 10 m.

Q. which of the following items is not a path function

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