If \( x^m y^n = (x+y)^{m+n} \), then \( \frac{dy}{dx} \) is
Fill in the blanks with the correct preposition. Jagdish is waiting for me \(\underline{\hspace{1cm}}\) the campus.
If \( D = \begin{vmatrix} 1 & 1 & 1 \\ 1 & 2+x & 1 \\ 1 & 1 & 2+y \end{vmatrix} \) for \( x \neq 0, y \neq 0 \), then D is
The domain of the function \( f(x) = \frac{\cos^{-1}x}{[x]} \) is
Fill in the blank with the most appropriate option.
Kedar \(\underline{\hspace{1cm}}\) this project for a month and now he is about to join a new project.
Identify the word that is similar in meaning to the underlined word.
Raghu made \(\underline{adulatory}\) remarks about the waiter who served the food.