Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: If𝑎≠𝑏, then (𝑎,𝑏)≠(𝑏,𝑎)
Reason R. (4,-3) lies in quadrant IV.
In the light of the above statements, choose the correct answer from the options given below
Explanation
1. Assertion A ka Analysis
Assertion kehta hai: Agar a=b, toh (a,b)=(b,a).
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Ordered Pair mein sequence bahut important hota hai.
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Agar hum do numbers a aur b ko swap (adal-badal) kar dete hain, toh coordinate plane par unki position badal jati hai.
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Example: Maan lijiye a=2 aur b=3. Point (2,3) aur (3,2) bilkul alag jagah par hote hain.
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Isliye, Assertion A Sahi (True) hai.
2. Reason R ka Analysis
Reason kehta hai: (4,−3) Quadrant IV mein aata hai.
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Quadrant IV ki property hoti hai ki wahan x-coordinate positive (+) hota hai aur y-coordinate negative (−) hota hai.
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Point (4,−3) mein x=4 (Positive) aur y=−3 (Negative) hai.
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Isliye, Reason R bhi Sahi (True) hai.
3. Conclusion aur Sahi Option
Ab humein ye dekhna hai ki kya Reason, Assertion ko explain kar raha hai?
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Assertion Ordered Pairs ki equality ke baare mein hai.
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Reason ek specific point ki Quadrant position ke baare mein hai.
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Halaaki dono statements apni-apni jagah sahi hain, lekin Reason R ka Assertion A se koi logical connection nahi hai (Reason ye nahi batata ki ordered pairs kyun unequal hote hain).
Sahi Answer:
Both A and R are true, but R is NOT the correct explanation of A.
