यदि \(a_1=3,\ b_1=-6,\ c_1=11\) और \(a_2=1,\ b_2=-2,\ c_2=4\), तो सही निष्कर्ष क्या है?
If \(a_1=3,\ b_1=-6,\ c_1=11\) and \(a_2=1,\ b_2=-2,\ c_2=4\), what is the correct conclusion?
Explanation opens after your attempt
Correct Answer
C. रेखाएँ समांतर हैं/Lines are parallel
Step 1
Concept
\(\frac{a_1}{a_2}=\frac{b_1}{b_2}=3\), but \(\frac{c_1}{c_2}=\frac{11}{4}\). Hence the lines are parallel and inconsistent.
Step 2
Why this answer is correct
The correct answer is C. रेखाएँ समांतर हैं / Lines are parallel. \(\frac{a_1}{a_2}=\frac{b_1}{b_2}=3\), but \(\frac{c_1}{c_2}=\frac{11}{4}\). Hence the lines are parallel and inconsistent.
Step 3
Exam Tip
\(\frac{a_1}{a_2}=\frac{b_1}{b_2}=3\), लेकिन \(\frac{c_1}{c_2}=\frac{11}{4}\)। इसलिए रेखाएँ समांतर और असंगत हैं।
Mathematics Answer, Explanation and Revision Hints
यदि \(a_1=3,\ b_1=-6,\ c_1=11\) और \(a_2=1,\ b_2=-2,\ c_2=4\), तो सही निष्कर्ष क्या है? / If \(a_1=3,\ b_1=-6,\ c_1=11\) and \(a_2=1,\ b_2=-2,\ c_2=4\), what is the correct conclusion?
Correct Answer: C. रेखाएँ समांतर हैं / Lines are parallel. Explanation: \(\frac{a_1}{a_2}=\frac{b_1}{b_2}=3\), लेकिन \(\frac{c_1}{c_2}=\frac{11}{4}\)। इसलिए रेखाएँ समांतर और असंगत हैं। / \(\frac{a_1}{a_2}=\frac{b_1}{b_2}=3\), but \(\frac{c_1}{c_2}=\frac{11}{4}\). Hence the lines are parallel and inconsistent.
Which concept should I revise for this Mathematics MCQ?
\(\frac{a_1}{a_2}=\frac{b_1}{b_2}=3\), but \(\frac{c_1}{c_2}=\frac{11}{4}\). Hence the lines are parallel and inconsistent.
What exam hint can help solve this Mathematics question?
\(\frac{a_1}{a_2}=\frac{b_1}{b_2}=3\), लेकिन \(\frac{c_1}{c_2}=\frac{11}{4}\)। इसलिए रेखाएँ समांतर और असंगत हैं।
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