Question : X is directly proportional to the square of Y. When X is 12, then Y is 2. Find the value of X when Y is 3.
Option 1: 30
Option 2: 9
Option 3: 27
Option 4: 18

Question

Question : The third proportional of the following numbers $(x - y)^{2}, (x^{2} - y^{2})^{2}$ is:
Option 1: $(x + y)^{3} (x - y)^{2}$
Option 2: $(x + y)^{4} (x - y)^{2}$
Option 3: $(x + y)^{2} (x - y)^{2}$
Option 4: $(x + y)^{2} (x - y)^{3}$

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Answer 1

Correct Answer: 27

Solution : $X \propto Y^{2} \Rightarrow X = k Y^{2}$
⇒ $\frac{X_{1}}{Y^{2}_{1}} = \frac{X_{2}}{Y^{2}_{2}}$
⇒ $\frac{12}{2^{2}} = \frac{X_{2}}{3^{2}}$
⇒ $X_{2} = \frac{12}{4} \times 9$
⇒ $X_{2} = 27$
Hence, the correct answer is 27.

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Question : X is directly proportional to the square of Y. When X is 12, then Y is 2. Find the value of X when Y is 3.Option 1: 30Option 2: 9Option 3: 27Option 4: 18

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Question : X is directly proportional to the square of Y. When X is 12, then Y is 2. Find the value of X when Y is 3.
Option 1: 30
Option 2: 9
Option 3: 27
Option 4: 18