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If x:y = 7:3, then find xy+ y²/x²-y². A)3/4 B)4/3 C)3/7 D)7/3 The answer is “ A ”explain?
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If x:y = 7:3, then find xy+ y²/x²-y². A)3/4 B)4/3 C)3/7 D)7/3 The answ...
Given: x:y = 7:3
To find: xy y²/x²-y²
Solution:
To simplify the expression, we can substitute the given ratio into the variables.
Let's assume x = 7a and y = 3a, where a is a constant.
Now, we can substitute these values into the expression xy y²/x²-y²:
xy y²/x²-y² = (7a)(3a) (3a)²/(7a)²-(3a)²
= 21a² 9a² / 49a²-9a²
= 189a⁴ / 40a²
= (189/40) * (a⁴/a²)
= (189/40) * a²
Now, we need to find the value of a. To find it, we can consider the given ratio:
x:y = 7:3
That means x/y = 7/3.
We can equate this with the values we assumed for x and y:
7a / 3a = 7/3
Simplifying this equation, we get:
7a = 21a
a = 1
Now, substitute the value of a = 1 into the expression we derived earlier:
(189/40) * 1²
= (189/40) * 1
= 189/40
Therefore, the value of xy y²/x²-y² is 189/40.
Hence, the correct answer is option A) 3/4.
To find: xy y²/x²-y²
Solution:
To simplify the expression, we can substitute the given ratio into the variables.
Let's assume x = 7a and y = 3a, where a is a constant.
Now, we can substitute these values into the expression xy y²/x²-y²:
xy y²/x²-y² = (7a)(3a) (3a)²/(7a)²-(3a)²
= 21a² 9a² / 49a²-9a²
= 189a⁴ / 40a²
= (189/40) * (a⁴/a²)
= (189/40) * a²
Now, we need to find the value of a. To find it, we can consider the given ratio:
x:y = 7:3
That means x/y = 7/3.
We can equate this with the values we assumed for x and y:
7a / 3a = 7/3
Simplifying this equation, we get:
7a = 21a
a = 1
Now, substitute the value of a = 1 into the expression we derived earlier:
(189/40) * 1²
= (189/40) * 1
= 189/40
Therefore, the value of xy y²/x²-y² is 189/40.
Hence, the correct answer is option A) 3/4.
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If x:y = 7:3, then find xy+ y²/x²-y². A)3/4 B)4/3 C)3/7 D)7/3 The answer is “ A ”explain?
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If x:y = 7:3, then find xy+ y²/x²-y². A)3/4 B)4/3 C)3/7 D)7/3 The answer is “ A ”explain? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about If x:y = 7:3, then find xy+ y²/x²-y². A)3/4 B)4/3 C)3/7 D)7/3 The answer is “ A ”explain? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x:y = 7:3, then find xy+ y²/x²-y². A)3/4 B)4/3 C)3/7 D)7/3 The answer is “ A ”explain?.
If x:y = 7:3, then find xy+ y²/x²-y². A)3/4 B)4/3 C)3/7 D)7/3 The answer is “ A ”explain? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about If x:y = 7:3, then find xy+ y²/x²-y². A)3/4 B)4/3 C)3/7 D)7/3 The answer is “ A ”explain? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x:y = 7:3, then find xy+ y²/x²-y². A)3/4 B)4/3 C)3/7 D)7/3 The answer is “ A ”explain?.
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