The correct options are
A {x : x is an odd prime number more than 100}
B {(x, y) : x and y are integers and a solution of the equation 2x + 3y = 12}
{x : x is an odd prime number more than 100} is an infinite set as there are infinite odd prime numbers more than 100.
{(x, y) : x and y are integers and solution of equation 2x +3y = 12} is an infinite set as
2x + 3y = 12⇒3y=12−2x⇒y=4−23x
For every x which is a positive or negative integer multiple of 3, we get a corresponding value of y. Hence, we have infinite solutions.
{x: x is a point common to two non-parallel lines in xy plane} is a finite set as two non-parallel lines meet at only 1 point.
{(x, y) : x and y are a natural number and solution of the equation 3x + 4y = 25} is finite set as (3, 4) and (7, 1) are only two natural number solution of the given equation.