Question

Assertion (A): The graph of equation 2x − y = 1 passes through the point (2, 3).

Reason (R): Every point lying on the graph of 2x − y = 1 is not a solution of 2x − y = 1.

Options

• Both A and R are true, and R is the correct reason for A.

• Both A and R are true, but R is the incorrect reason for A.

• A is true, but R is false.

• A is false, but R is true.

Answer 1

A is true, but R is false.

Explanation:

Assertion (A):

Substitute x = 2, y = 3 into the equation:

2(2) − 3 = 4 − 3 = 1

This satisfies the equation. So, Assertion (A) is True.

Reason (R):

The statement is False:

In fact, every point on the graph of an equation is, by definition, a solution of that equation.

So, Reason (R) is False.