Question

Assertion (A): The points $$A(0, 3), B(0, -5)$$ and $$C(2, 3)$$ are noncollinear.

Reason (R): $$A$$ and $$B$$ lie on $$x$$-axis and $$C$$ lies in first quadrant.

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

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

Explanation:

Step 1 – Assertion: A is true. A and B lie on the $$y$$-axis, while C does not lie on that axis; therefore, the three points are noncollinear.

Step 2 – Reason: R is false. A and B have abscissa zero, so they lie on the $$y$$-axis, not the $$x$$-axis. C does lie in the first quadrant.