Assertion Reasoning Quiz

Question 1 of 6

Assertion (A): The points \(A(0, 0)\), \(B(3, 0)\), and \(C(5, 0)\) all lie on a straight line.
Reason (R): All points that share a y-coordinate of \(0\) lie on the x-axis.

A Both (A) and (R) are true, and (R) is the correct explanation of (A). B Both (A) and (R) are true, but (R) is NOT the correct explanation of (A). C (A) is true, but (R) is false. D (A) is false, but (R) is true.

Select one option. Answers are shown after the test.

Question 2 of 6

Assertion (A): The image of the point \((-5, 2)\) when reflected across the y-axis is \((5, -2)\).
Reason (R): When a point is reflected across the y-axis, the sign of its x-coordinate changes, while the y-coordinate remains the same.

A Both (A) and (R) are true, and (R) is the correct explanation of (A). B Both (A) and (R) are true, but (R) is NOT the correct explanation of (A). C (A) is true, but (R) is false. D (A) is false, but (R) is true.

Select one option. Answers are shown after the test.

Question 3 of 6

Assertion: In a city grid, the ordered pair \((4,3)\) identifies one unique street intersection.
Reason: The coordinates \((4,3)\) and \((3,4)\) always represent the same location.

A Both Assertion and Reason are true, and Reason is the correct explanation of Assertion. B Both Assertion and Reason are true, but Reason is not the correct explanation of Assertion. C Assertion is true, but Reason is false. D Assertion is false, but Reason is true.

Select one option. Answers are shown after the test.

Question 4 of 6

Assertion (A): The distance between the points \(A(-3, 2)\) and \(B(5, 2)\) is \(8\) units.
Reason (R): The distance between points \((x_1, y)\) and \((x_2, y)\) is calculated as \(|x_2 - x_1|\).

A Both (A) and (R) are true, and (R) is the correct explanation of (A). B Both (A) and (R) are true, but (R) is NOT the correct explanation of (A). C (A) is true, but (R) is false. D (A) is false, but (R) is true.

Select one option. Answers are shown after the test.

Question 5 of 6

Assertion (A): The distance of the point \(P(3, -4)\) from the origin is \(5\) units.
Reason (R): The distance of a point \((x, y)\) from the origin \((0,0)\) is calculated using the formula \(\sqrt{x^2 + y^2}\).

A Both (A) and (R) are true, and (R) is the correct explanation of (A). B Both (A) and (R) are true, but (R) is NOT the correct explanation of (A). C (A) is true, but (R) is false. D (A) is false, but (R) is true.

Select one option. Answers are shown after the test.

Question 6 of 6

Assertion (A): If the midpoint of \(A(x, 5)\) and \(B(4, y)\) is \(M(2, 3)\), then \(x=0\) and \(y=1\).
Reason (R): The coordinates of the midpoint divide a line segment in a \(2:1\) ratio.

A Both (A) and (R) are true, and (R) is the correct explanation of (A). B Both (A) and (R) are true, but (R) is NOT the correct explanation of (A). C (A) is true, but (R) is false. D (A) is false, but (R) is true.

Select one option. Answers are shown after the test.

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