Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
Difficulty select karke sirf is topic ke focused MCQs practice karein. Score, timer aur explanations student-friendly flow me milenge.
Showing 101-110 of 575 questions.
Which point lies in the solution region of \(x+y\leq 5\)?
C. ((1,2))
((1,2)) रखने पर \(3\leq 5\) सत्य है। विकल्पों में बिंदु रखकर जाँचें। / Substituting ((1,2)) gives \(3\leq 5\), which is true. Check options by substitution.
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Which point lies in the solution region of (x+2y>8)?
B. ((2,3))
((2,3)) रखने पर (2+6>8) अर्थात (8>8) नहीं, इसलिए ध्यान दें। सही जाँच में कोई बराबरी नहीं चाहिए। / Substitution must make the expression strictly greater than (8). Here no equality is allowed in a strict inequality.
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Which point truly lies in the solution region of (x+2y>8)?
D. ((2,4))
((2,4)) रखने पर (2+8>8) सत्य है। कठोर असमानता में बराबर वाला बिंदु न चुनें। / Substituting ((2,4)) gives (2+8>8), which is true. Do not choose an equal boundary point in a strict inequality.
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What is the status of ((3,1)) for \(2x+y\leq 7\)?
A. हल में हैIn the solution
((3,1)) रखने पर \(6+1\leq 7\) सत्य है। यह सीमा रेखा पर स्थित है। / Substituting ((3,1)) gives \(6+1\leq 7\), which is true. It lies on the boundary line.
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For which inequality is the boundary line included in the graph?
C. \(2x+y\leq 9\)
\(\leq\) और \(\geq\) में सीमा रेखा शामिल होती है। प्रश्न में चिह्न देखकर उत्तर चुनें। / The boundary line is included for \(\leq\) and \(\geq\). Choose by checking the inequality sign.
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For which inequality is the boundary line not included in the graph?
D. (y<x+2)
(<) और (>) में सीमा रेखा शामिल नहीं होती। इसलिए टूटी हुई रेखा बनाई जाती है। / For (<) and (>), the boundary line is not included. So a dashed line is drawn.
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Why is the origin in the solution of \(x+y\leq 1\)?
A. क्योंकि \(0\leq 1\)Because \(0\leq 1\)
मूल बिंदु रखने पर \(0\leq 1\) सत्य मिलता है। इसलिए मूल बिंदु वाला पक्ष हल है। / Substituting the origin gives \(0\leq 1\), which is true. Hence, the side with the origin is the solution.
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Is the origin in the solution of \(x+y\geq -3\)?
A. हाँYes
((0,0)) रखने पर \(0\geq -3\) सत्य है। इसलिए मूल बिंदु हल-क्षेत्र में है। / Substituting ((0,0)) gives \(0\geq -3\), which is true. So the origin is in the solution region.
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What does the origin test give for \(x-y\leq 2\)?
A. \(0\leq 2\) सत्य\(0\leq 2\) true
मूल बिंदु रखने पर बायाँ पक्ष (0) है। इसलिए परीक्षण सत्य है। / Putting the origin gives left side (0). Hence, the test is true.
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What does the origin test show for \(x-y\geq 2\)?
B. मूल बिंदु हल में नहीं हैOrigin is not in solution
((0,0)) रखने पर \(0\geq 2\) असत्य है। इसलिए मूल बिंदु वाला पक्ष नहीं चुना जाएगा। / Substituting ((0,0)) gives \(0\geq 2\), which is false. So the side with the origin is not chosen.
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