If P2 varies as R and Q2 varies as R P ne Q then which of the following are correct 1 P2 Q...........

Quantitative Aptitude (CDS) Number System

If P² varies as R and Q² varies as R, (P≠ Q), then which of the following are correct?

1. P² + Q² varies as R.

2. PQ varies as R.

3. P² - Q² varies as R.

Select the correct answer using the code given below:

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2024 CDS -1 MATH

1 and 2 only

2 and 3 only

1 and 3 only

1, 2 and 3

Let’s analyze each statement:

- Given: P² ∝ R and Q² ∝ R (P ∝ Q). So, P² = k1R and Q² = k2R (where k1, k2 constants).

- Statement 1: P² + Q² = (k1 + k2)R

- True

- Statement 2: PQ = √(k1R) × v(k2R) = √(k1k2)R

- True

- Statement 3: P² - Q² = (k1 - k2)R Difference of P² and Q² ∝ R.

- True

So, all three statements are correct.

- Option 4 (1, 2 and 3) is correct.

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