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If X varies inversely as square of Y and given that Y = 2 for X = 1, then the value of X for Y = 6 will be?
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If X varies inversely as square of Y and given that Y = 2 for X = 1, t...
Given:
X varies inversely as the square of Y.

To find:
The value of X when Y = 6.

Solution:

Step 1: Understand the problem.
The problem states that X varies inversely as the square of Y. This means that as Y increases, X will decrease, and vice versa. The relationship between X and Y can be represented as X = k/Y^2, where k is a constant.

Step 2: Use the given information.
We are given that when Y = 2, X = 1. We can use this information to find the value of k.

When Y = 2 and X = 1, we have:
1 = k/2^2
1 = k/4
k = 4

Step 3: Use the value of k to find X when Y = 6.
Now that we have the value of k, we can find X when Y = 6 using the equation X = k/Y^2.

When Y = 6, we have:
X = 4/6^2
X = 4/36
X = 1/9

Therefore, when Y = 6, the value of X is 1/9.
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If X varies inversely as square of Y and given that Y = 2 for X = 1, then the value of X for Y = 6 will be?
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