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Assertion : If you are facing North and ...

Assertion : If you are facing North and turn anti-clockwise to face west, you make `(3)/(4)` of a revolution.
Reason: Turning by two straight angles in same direction makes a full turn i.e., one revolution.

A

If both assertion and reason are true and reason is the correct explanation of assertion.

B

If both assertion and reason are true but reason is not the correct explanation of assertion.

C

If assertion is true but reason is false.

D

If assertion is false but reason is true.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states: "If you are facing North and turn anti-clockwise to face West, you make \( \frac{3}{4} \) of a revolution." - When you are facing North and turn anti-clockwise to face West, you move from North to West. - The directions can be visualized as follows: - North (0 degrees) - West (270 degrees) To determine how much of a revolution this is: - A full revolution is \( 360 \) degrees. - Turning from North (0 degrees) to West (270 degrees) is a \( 90 \) degree turn. Now, to find out what fraction of a revolution this is: \[ \text{Fraction of revolution} = \frac{\text{Degrees turned}}{\text{Total degrees in a revolution}} = \frac{90}{360} = \frac{1}{4} \] Thus, the assertion is **false** because turning from North to West is \( \frac{1}{4} \) of a revolution, not \( \frac{3}{4} \). ### Step 2: Understand the Reason The reason states: "Turning by two straight angles in the same direction makes a full turn, i.e., one revolution." - A straight angle is \( 180 \) degrees. - Therefore, two straight angles equal \( 180 \times 2 = 360 \) degrees, which is indeed a full revolution. This statement is **true**. ### Conclusion - The assertion is false, and the reason is true. - Therefore, the correct option is: "Assertion is false but reason is true."
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