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9.If x:y=3:4 the value of x^(2)y xy^(2):x^(3) y^(3) is (a) 13:12 (b) 12:13 (c) 21:31 (d) none of these?
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9.If x:y=3:4 the value of x^(2)y xy^(2):x^(3) y^(3) is (a) 13:12 (b) 1...
Problem: If x:y=3:4, find the value of x^(2)y xy^(2):x^(3) y^(3).

Solution:

Given, x:y=3:4

Let us assume x=3k and y=4k where k is a constant.

Now, we need to find the value of x^(2)y xy^(2):x^(3) y^(3).

So, substituting the values of x and y, we get

x^(2)y xy^(2):x^(3) y^(3) = (3k)^(2) x (4k) x (4k)^(2):(3k)^(3) x (4k)^(3)

= 36k^(3) x 64k^(3):27k^(3) x 64k^(3)

= 2304:11664

= 4:13

Therefore, the value of x^(2)y xy^(2):x^(3) y^(3) is 4:13.

Hence, the correct answer is option (b) 12:13.

Answer: (b) 12:13
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9.If x:y=3:4 the value of x^(2)y xy^(2):x^(3) y^(3) is (a) 13:12 (b) 1...
Kalpesh
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9.If x:y=3:4 the value of x^(2)y xy^(2):x^(3) y^(3) is (a) 13:12 (b) 12:13 (c) 21:31 (d) none of these?
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