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Assertion : Line segment of length 5 cm ...

Assertion : Line segment of length 5 cm can be constructed using ruler only.
Reason : We can construct any line segment using ruler.

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 the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion**: - The assertion states that a line segment of length 5 cm can be constructed using a ruler only. - We need to determine if this statement is true or false. 2. **Analyzing the Reason**: - The reason states that we can construct any line segment using a ruler. - This is a general statement about the capabilities of a ruler. 3. **Evaluating the Assertion**: - While it is true that we can draw a line segment of 5 cm using a ruler, the assertion specifies "using a ruler only." - In practical geometry, while a ruler can be used to draw straight lines, it is often combined with other tools (like a compass) to measure specific lengths accurately. - Therefore, the assertion that a line segment of 5 cm can be constructed using a ruler only is **false**. 4. **Evaluating the Reason**: - The reason states that we can construct any line segment using a ruler. - This is true because a ruler can be used to draw straight lines of any length, provided we have a way to measure that length accurately. - Therefore, the reason is **true**. 5. **Conclusion**: - The assertion is false, and the reason is true. - Thus, the correct evaluation is that the assertion does not support the reason. ### Final Answer: - Assertion: False - Reason: True
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