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If 2s: 3t is the duplicate ratio of 2s - p: 3t - p then (a) p? = 6st (b) p = 6st (c) 2p = 3st (d) none of these?
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If 2s: 3t is the duplicate ratio of 2s - p: 3t - p then (a) p? = 6st (...
**Given:**
Ratio of 2s: 3t = Ratio of (2s - p): (3t - p)
**Assume:**
Let's assume that p = 6st.
**Proof:**
To prove that p = 6st, we will substitute the given values in the equation and check if both sides are equal.
Ratio of 2s: 3t = Ratio of (2s - p): (3t - p)
Substituting the value of p = 6st:
Ratio of 2s: 3t = Ratio of (2s - 6st): (3t - 6st)
Simplifying the equation:
Ratio of 2s: 3t = Ratio of 2s - 6st: 3t - 6st
Multiplying both sides by (3t - 6st) to eliminate the ratio:
(2s)(3t - 6st) = (2s - 6st)(3t)
Expanding the equation:
6st - 12s^2t = 6st - 18s^2t
Simplifying the equation:
-12s^2t = -18s^2t
Dividing both sides by -6s^2t:
2 = 3
Since the equation is not true, we can conclude that our assumption p = 6st is incorrect.
**Conclusion:**
Therefore, the correct answer is (d) none of these, as none of the options provided in the question can be proven to be true.
Ratio of 2s: 3t = Ratio of (2s - p): (3t - p)
**Assume:**
Let's assume that p = 6st.
**Proof:**
To prove that p = 6st, we will substitute the given values in the equation and check if both sides are equal.
Ratio of 2s: 3t = Ratio of (2s - p): (3t - p)
Substituting the value of p = 6st:
Ratio of 2s: 3t = Ratio of (2s - 6st): (3t - 6st)
Simplifying the equation:
Ratio of 2s: 3t = Ratio of 2s - 6st: 3t - 6st
Multiplying both sides by (3t - 6st) to eliminate the ratio:
(2s)(3t - 6st) = (2s - 6st)(3t)
Expanding the equation:
6st - 12s^2t = 6st - 18s^2t
Simplifying the equation:
-12s^2t = -18s^2t
Dividing both sides by -6s^2t:
2 = 3
Since the equation is not true, we can conclude that our assumption p = 6st is incorrect.
**Conclusion:**
Therefore, the correct answer is (d) none of these, as none of the options provided in the question can be proven to be true.
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If 2s: 3t is the duplicate ratio of 2s - p: 3t - p then (a) p? = 6st (b) p = 6st (c) 2p = 3st (d) none of these?
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If 2s: 3t is the duplicate ratio of 2s - p: 3t - p then (a) p? = 6st (b) p = 6st (c) 2p = 3st (d) none of these? 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 2s: 3t is the duplicate ratio of 2s - p: 3t - p then (a) p? = 6st (b) p = 6st (c) 2p = 3st (d) none of these? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 2s: 3t is the duplicate ratio of 2s - p: 3t - p then (a) p? = 6st (b) p = 6st (c) 2p = 3st (d) none of these?.
If 2s: 3t is the duplicate ratio of 2s - p: 3t - p then (a) p? = 6st (b) p = 6st (c) 2p = 3st (d) none of these? 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 2s: 3t is the duplicate ratio of 2s - p: 3t - p then (a) p? = 6st (b) p = 6st (c) 2p = 3st (d) none of these? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 2s: 3t is the duplicate ratio of 2s - p: 3t - p then (a) p? = 6st (b) p = 6st (c) 2p = 3st (d) none of these?.
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