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:

Question

Accepted Answer

1, 2 and 3. Given P² = k₁R and Q² = k₂R. Then P² + Q² = (k₁ + k₂)R, which varies as R — statement 1 correct. P² × Q² = k₁k₂R², so PQ = √(k₁k₂) × R, hence PQ varies as R — statement 2 correct. P² - Q² = (k₁ - k₂)R, varies as R — statement 3 correct. All three are correct.

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:

Explanation

Want more CDS practice?