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If p:q is the sub-duplicate ratio of p-x^2:q-x^2 then x^2 is?
Most Upvoted Answer
If p:q is the sub-duplicate ratio of p-x^2:q-x^2 then x^2 is?
Explanation:
To solve the given problem, we need to use the concept of sub-duplicate ratio.
Definition:
When the ratio of two quantities is such that the first is the square of the second, then the ratio is called sub-duplicate ratio.
Step-by-Step Solution:
Let us assume that p:q is the sub-duplicate ratio of p-x^2:q-x^2. We can write this as:
p:q = (p-x^2):(q-x^2)
Now, we need to simplify this equation to find x^2.
Step 1:
First, we can cross-multiply to get:
p(q-x^2) = q(p-x^2)
Step 2:
Next, we can simplify this equation by expanding the brackets:
Step 3:
Finally, we can cancel x^2 from both sides to get:
Therefore, the sub-duplicate ratio of p:q is p:p or 1:1.
And, x^2 = q/p * x^2 = 1 * x^2 = x^2.
Answer:
Hence, x^2 is equal to x^2.
To solve the given problem, we need to use the concept of sub-duplicate ratio.
Definition:
When the ratio of two quantities is such that the first is the square of the second, then the ratio is called sub-duplicate ratio.
Step-by-Step Solution:
Let us assume that p:q is the sub-duplicate ratio of p-x^2:q-x^2. We can write this as:
p:q = (p-x^2):(q-x^2)
Now, we need to simplify this equation to find x^2.
Step 1:
First, we can cross-multiply to get:
p(q-x^2) = q(p-x^2)
(pq - px2) = (pq - qx2)
Step 2:
Next, we can simplify this equation by expanding the brackets:
pq - px2 = pq - qx2
- px2 = - qx2
x2 = q/p * x2
Step 3:
Finally, we can cancel x^2 from both sides to get:
1 = q/p
q = p
Therefore, the sub-duplicate ratio of p:q is p:p or 1:1.
And, x^2 = q/p * x^2 = 1 * x^2 = x^2.
Answer:
Hence, x^2 is equal to x^2.
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If p:q is the sub-duplicate ratio of p-x^2:q-x^2 then x^2 is?
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If p:q is the sub-duplicate ratio of p-x^2:q-x^2 then x^2 is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If p:q is the sub-duplicate ratio of p-x^2:q-x^2 then x^2 is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If p:q is the sub-duplicate ratio of p-x^2:q-x^2 then x^2 is?.
If p:q is the sub-duplicate ratio of p-x^2:q-x^2 then x^2 is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If p:q is the sub-duplicate ratio of p-x^2:q-x^2 then x^2 is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If p:q is the sub-duplicate ratio of p-x^2:q-x^2 then x^2 is?.
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