If f(x) is defined on domain [0, 1], then f(2 sin x) is defined on
\(\bigcup\limits_{n∈I}\){[2nπ,2nπ+π/6]\(\bigcup\)[2nπ+\(\frac{5π}{6}\),(2n+1)π]}
\(\bigcup\limits_{n∈I}\)[2nπ,2nπ+\(\fracπ6\)]
\(\bigcup\limits_{n∈I}\)[2nπ+\(\frac{5π}{6}\),(2n+1)π]
None of these
Suppose that \( A = \{ 1, 2, 3 \} \), \( B = \{ 4, 5, 6, 7 \} \), and \( f = \{ (1, 4), (2, 5), (3, 6) \} \) be a function from \( A \) to \( B \). Then \( f \) is:
The value of current \( I \) in the electrical circuit as given below, when the potential at \( A \) is equal to the potential at \( B \), will be _____ A.
Two light beams fall on a transparent material block at point 1 and 2 with angle \( \theta_1 \) and \( \theta_2 \), respectively, as shown in the figure. After refraction, the beams intersect at point 3 which is exactly on the interface at the other end of the block. Given: the distance between 1 and 2, \( d = \frac{4}{3} \) cm and \( \theta_1 = \theta_2 = \cos^{-1} \left( \frac{n_2}{2n_1} \right) \), where \( n_2 \) is the refractive index of the block and \( n_1 \) is the refractive index of the outside medium, then the thickness of the block is …….. cm.