Question

Assertion (A): The point $$P(0, 2)$$ is the point of intersection of the $$y$$-axis with the line $$3x + 2y = 4$$.

Reason (R): The distance of the point $$P(0,2)$$ from the $$x$$-axis is 2 units.

Options

• Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).

• Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).

• Assertion (A) is true and Reason (R) is false.

• Assertion (A) is false and Reason (R) is true.

Answer 1

Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).

Explanation:

Step 1 – Assertion: A is true. The point has $$x = 0$$, so it lies on the $$y$$-axis and $$3(0) + 2(2) = 4$$, so it lies on the given line.

Step 2 – Reason: R is true. The distance from the $$x$$-axis is the absolute value of the ordinate, which is $$|2| = 2$$ units.

Step 3 – Link: The distance from the $$x$$-axis does not establish that the point lies on the $$y$$-axis or the given line; therefore, R does not explain A.