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Two equations 1 and 2 are given in each ...

Two equations 1 and 2 are given in each question. On the basis of these equations you have to decide the relation between `p` and `q` and give answer.
(1) `p=10`
(2) `q=sqrt(100)`

A

If no relation can be decided between p and q

B

If `p gt q`

C

If `p ge q`

D

If `p=q`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the two given equations and determine the relationship between \( p \) and \( q \). ### Step-by-Step Solution: 1. **Identify the equations:** - Equation (1): \( p = 10 \) - Equation (2): \( q = \sqrt{100} \) 2. **Solve for \( p \):** - From Equation (1), we directly have: \[ p = 10 \] 3. **Solve for \( q \):** - From Equation (2), we need to calculate \( q \): \[ q = \sqrt{100} \] - We know that the square root of 100 is: \[ q = 10 \quad \text{(since } \sqrt{100} = 10\text{)} \] 4. **Determine the relationship between \( p \) and \( q \):** - Now we have: \[ p = 10 \quad \text{and} \quad q = 10 \] - Comparing \( p \) and \( q \): \[ p = q \] 5. **Conclusion:** - The relationship we found is: \[ p \text{ is equal to } q \] - In terms of inequalities, we can also say: \[ p \geq q \quad \text{(since } p = q\text{)} \] ### Final Answer: The relation between \( p \) and \( q \) is \( p \geq q \). ---
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