Let A = {3,4,7,8} and B = {1,7,10}. Which of the following sets are relations from A to B?
R₁ = {(3,7), (4,7), (7,10), (8,1)}

Let A = {1,2,3,4} and B = { 2, 5, 8, 11,14} be two sets. Let f: A ⟶ B be a function given by f(x) = 3x − 1. Represent this function
(i) by arrow diagram
(ii) in a table form
(iii) as a set of ordered pairs
(iv) in a graphical form

The general term of a sequence is defined as 
a_n = \(\begin{cases} n\left( n+3 \right) ;n\in N\quad is\quad odd \\ { n }^{ 2 }+1;n\in N\quad is\quad even \end{cases}\)
Find the eleventh and eighteenth terms.

In an A.P. the sum of first n terms is \(\frac { { 5n }^{ 2 } }{ 2 } +\frac { 3n }{ 2 } \). Find the 17^th term

Find the GCD of 6x³ - 30x² + 60x - 48 and 3x³ - 12x² + 21x - 18.

Draw the graph of y = 2x² and hence solve 2x² - x - 6 = 0

Determine the nature of roots for the following quadratic equations
9x² - 24x + 16 = 0

In \(\triangle\) ABC, if DE||BC, AD = x, DB = x − 2, AE = x +2 and EC = x − 1 then find the lengths of the sides AB and AC.

The line r passes through the points (–2, 2) and (5, 8) and the line s passes through the points (–8, 7) and (–2, 0). Is the line r perpendicular to s ?

Find the equation of a line through the given pair of points (2, 3) and (-7, -1)