Find the slope of tangent to the curve y = 3x² – 6 at the point on it whose x-coordinate is 2.
If R = {(x, y) : x + 2y = 8} is a relation on N, writethe range of R.
If A = {1, 2, 3}, B = {4, 5, 6, 7} and f = {(1, 4), (2, 5),(3, 6)} is a function from A to B. State whether f is one-one or not.
Let R be the equivalence relation in the set A = {0, 1, 2, 3, 4, 5} given by R = {(a, b) : 2 divides (a –b)}. Write the equivalence class [0].
Write the number of all possible matrices of order 2 × 2 with each entry 1, 2 or 3.