If g[f(x)]=( sin x)  and f[g(x)] = (sin \(\sqrt x\))² then 

The number of words which can be formed from the letters of the word MAXIMUM, if two consonants cannot occur together, is

Two sides of a rectangle are 6.01 cm and 12 cm. Taking the significant into consideration the area of the rectangle is

Of the four choices given after the statements, choose the one that best describes the two statements.

Statement 1: In the Figure shown, a mass M is suspended from vertical spring of force constant k, the equation of motion My = − ky + Mg shows that motion is not simple harmonic unless Mg is negligibly small.

Statement 2: For simple harmonic motion, acceleration must be proportional to displacement and directed towards mean position.

For the reaction, 4A+B  \(\rightarrow\) 2C+ 2D, which of the following statements is wrong?

An organic compound with a molecular formula C₆H₁₂O₆ forms pent acetyl derivative on reduction of HI in the presence of red P gives n hexane. It answer positive on reaction with Tolle n’s reagent and Fehling’s solution. It forms osazone with excess C₆H₅NHNH₂. On oxidation with HNO₃ it gives tartaric acid and glycollic acid. It is reduced to mixture sorbitol and mannitol. The compound is