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algebraic conditions MCQ Questions for Class 10 algebraic conditions se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.
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1 questions tagged with algebraic conditions.
चार संख्याओं \,p, q, r, s\, के इसी क्रम में एक समांतर श्रेणी के क्रमागत पद होने की आवश्यक और पर्याप्त शर्त कौन-सी है?
Which condition is necessary and sufficient for four numbers \,p, q, r, s\, in this order to be consecutive terms of an arithmetic progression?
#arithmetic progression
#common difference
#ap properties
#consecutive terms
#algebraic conditions
A \(p+r=2q\) और \(q+s=2r\)
B \(p+s=q+r\)
C \(p+q=r+s\)
D \(p+s=2q\)
Explanation opens after your attempt
Correct Answer
A. \(p+r=2q\) और \(q+s=2r\)
Explanation
Simple Explanation
\(p+r=2q\) से \(q-p=r-q\) मिलता है और \(q+s=2r\) से \(r-q=s-r\)। अतः तीनों अंतर समान हैं। विकल्प B अकेला पर्याप्त नहीं है। परीक्षा टिप: क्रमागत पदों के अंतर बराबर जाँचें। / From \(p+r=2q\), we get \(q-p=r-q\); from \(q+s=2r\), we get \(r-q=s-r\). Thus all consecutive differences are equal. Option B alone is insufficient. Exam tip: compare consecutive differences.
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