Question

Question 17
How many linear equations in x and y can be satisfied by x = 1 and y = 2?

A) Only one
B) Two
C) Infinitely many
D) Three​​​​​​​

Answer 1

The answer is C.
Let the linear equation be ax + by + c = 0.
On putting x = 1 and y = 2, in above equation we get;
$\Rightarrow$ a + 2b + c = 0, where a, b and c, are real number.
Here, different values of a, b and c satisfy a+ 2b + c = 0.
Hence, infinitely many linear equations in x and y can be satisfied by x = 1 and y = 2.