Isotopes are atoms of the same element that have the same atomic number (same number of protons) but different mass numbers. This difference in mass number occurs due to varying numbers of neutrons in the nucleus, which gives isotopes of an element different atomic masses but identical chemical properties.
From the given following (A to D) cyclic structures, those which will not react with Tollen's reagent are : 
Compound 'P' undergoes the following sequence of reactions : (i) NH₃ (ii) $\Delta$ $\rightarrow$ Q (i) KOH, Br₂ (ii) CHCl₃, KOH (alc), $\Delta$ $\rightarrow$ NC-CH₃. 'P' is : 

Consider the following statements: Statement I: \( 5 + 8 = 12 \) or 11 is a prime. Statement II: Sun is a planet or 9 is a prime.
Which of the following is true?
The value of \[ \int \sin(\log x) \, dx + \int \cos(\log x) \, dx \] is equal to
The value of \[ \lim_{x \to \infty} \left( e^x + e^{-x} - e^x \right) \] is equal to