x varies as inversely as square of y. Given that y=2 for x= The value of x for y=6 will be equal to :
Solution
Correct Answer: Option D
x is inversely proportional to y squared 1/x ∝ y^2 Therefore 1/x equals some constant multiplied by y squared ∴ 1/x = ky^2 (k is a constant) Find the value of the constant using values given for y = 2, x = 1 1/1 = 4k ∴ k = 1/4 Now use the newly found constant and the second y value to find the second x value for y = 6 k = 1/4 1/x = 1/4 x 6^2 1/x = 9 ∴ x = 1/9
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