कौन सा बिंदु \(x+2y\geq 6\), \(x-y\leq 2\), \(y\leq 4\), \(x\geq 0\) का हल नहीं है?
Which point is not a solution of \(x+2y\geq 6\), \(x-y\leq 2\), \(y\leq 4\), and \(x\geq 0\)?
#linear inequalities
#point testing
#not solution
#feasible region
A ((2,2))
B ((5,1))
C ((1,4))
D ((0,3))
Explanation opens after your attempt
Correct Answer
B. ((5,1))
Step 1
Concept
At ((5,1)), (x-y=4), which is greater than (2). In option testing, one failed inequality excludes the point.
Step 2
Why this answer is correct
The correct answer is B. ((5,1)). At ((5,1)), (x-y=4), which is greater than (2). In option testing, one failed inequality excludes the point.
Step 3
Exam Tip
((5,1)) पर (x-y=4) है जो (2) से बड़ा है। विकल्प जांच में एक भी गलत असमानता बिंदु को बाहर कर देती है।
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बिंदु ((2,2)) असमानता \(x+2y\leq 5\) के लिए कौन सा निष्कर्ष देता है?
What conclusion does the point ((2,2)) give for \(x+2y\leq 5\)?
#linear inequalities
#point testing
#not solution
#class 11
A यह हल क्षेत्र में है / It is in the solution region
B यह सीमा रेखा पर है / It is on the boundary line
C यह हल क्षेत्र में नहीं है / It is not in the solution region
D यह मूल बिंदु है / It is the origin
Explanation opens after your attempt
Correct Answer
C. यह हल क्षेत्र में नहीं है / It is not in the solution region
Step 1
Concept
Substituting ((2,2)) gives \(6\leq 5\), which is false, so the point is not a solution. Avoid addition mistakes in exams.
Step 2
Why this answer is correct
The correct answer is C. यह हल क्षेत्र में नहीं है / It is not in the solution region. Substituting ((2,2)) gives \(6\leq 5\), which is false, so the point is not a solution. Avoid addition mistakes in exams.
Step 3
Exam Tip
((2,2)) रखने पर \(6\leq 5\) असत्य है, इसलिए बिंदु हल में नहीं है। परीक्षा में जोड़ने की गलती से बचें।
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असमानता \(y\leq 2x+1\) के लिए बिंदु ((0,2)) क्या है?
What is the point ((0,2)) for the inequality \(y\leq 2x+1\)?
#linear inequalities
#point checking
#not solution
#class 11
A हल क्षेत्र में / In the solution region
B सीमा रेखा पर / On the boundary line
C हल क्षेत्र में नहीं / Not in the solution region
D मूल बिंदु / Origin
Explanation opens after your attempt
Correct Answer
C. हल क्षेत्र में नहीं / Not in the solution region
Step 1
Concept
Substituting ((0,2)) gives \(2\leq 1\), which is false. Decide the region only after comparison in exams.
Step 2
Why this answer is correct
The correct answer is C. हल क्षेत्र में नहीं / Not in the solution region. Substituting ((0,2)) gives \(2\leq 1\), which is false. Decide the region only after comparison in exams.
Step 3
Exam Tip
((0,2)) रखने पर \(2\leq 1\) असत्य है। परीक्षा में तुलना के बाद ही क्षेत्र तय करें।
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असमानता \(3x+2y\leq 6\) में कौन सा बिंदु हल क्षेत्र में नहीं है?
Which point is not in the solution region of \(3x+2y\leq 6\)?
#linear inequalities
#point testing
#not solution
#class 11
A ((0,0))
B ((1,1))
C ((3,0))
D ((0,3))
Explanation opens after your attempt
Correct Answer
C. ((3,0))
Step 1
Concept
Substituting ((3,0)) gives \(9\leq 6\), which is false, so it is not in the solution region. In exams, find the option that makes the inequality false.
Step 2
Why this answer is correct
The correct answer is C. ((3,0)). Substituting ((3,0)) gives \(9\leq 6\), which is false, so it is not in the solution region. In exams, find the option that makes the inequality false.
Step 3
Exam Tip
((3,0)) रखने पर \(9\leq 6\) असत्य है, इसलिए यह हल क्षेत्र में नहीं है। परीक्षा में सभी दिए बिंदुओं में केवल असत्य मान खोजें।
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कौन सा मान असमानता \(7-3x\leq1\) का हल नहीं है?
Which value is not a solution of \(7-3x\leq1\)?
#linear-inequalities
#value-checking
#not-solution
A (x=1)
B (x=2)
C (x=3)
D (x=4)
Explanation opens after your attempt
Step 1
Concept
The inequality gives \(-3x\leq-6\) and \(x\geq2\). Hence (x=1) is not a solution.
Step 2
Why this answer is correct
The correct answer is A. (x=1). The inequality gives \(-3x\leq-6\) and \(x\geq2\). Hence (x=1) is not a solution.
Step 3
Exam Tip
असमानता से \(-3x\leq-6\) और \(x\geq2\) मिलता है। इसलिए (x=1) हल नहीं है।
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असमानता (4(x-2)>3x+7) के लिए कौन सा (x) मान हल नहीं है?
For (4(x-2)>3x+7), which value of (x) is not a solution?
#linear inequality
#checking
#not solution
A (x=16)
B (x=20)
C (x=14)
D (x=25)
Explanation opens after your attempt
Step 1
Concept
The solution is (4x-8>3x+7), so (x>15). (x=14) does not satisfy this condition.
Step 2
Why this answer is correct
The correct answer is C. (x=14). The solution is (4x-8>3x+7), so (x>15). (x=14) does not satisfy this condition.
Step 3
Exam Tip
हल (4x-8>3x+7) से (x>15) है। (x=14) इस शर्त को पूरा नहीं करता।
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कौन सा मान \(-4<x\leq 3\) का हल नहीं है?
Which value is not a solution of \(-4<x\leq 3\)?
#endpoint-check
#not-solution
#compound-inequality
A (x=-3)
B (x=0)
C (x=3)
D (x=-4)
Explanation opens after your attempt
Step 1
Concept
(-4) is an open endpoint, so (x=-4) is not included. Checking boundary values is essential in such questions.
Step 2
Why this answer is correct
The correct answer is D. (x=-4). (-4) is an open endpoint, so (x=-4) is not included. Checking boundary values is essential in such questions.
Step 3
Exam Tip
(-4) खुला सिरा है इसलिए (x=-4) शामिल नहीं है। सीमा मान जांचना ऐसे प्रश्नों में जरूरी है।
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कौन सा मान (2x-7>5) का हल नहीं है?
Which value is not a solution of (2x-7>5)?
#boundary-value
#not-solution
#strict-inequality
A (x=6)
B (x=7)
C (x=8)
D (x=9)
Explanation opens after your attempt
Step 1
Concept
The inequality gives (2x>12), so (x>6). The boundary value (x=6) is not included because the sign is strict.
Step 2
Why this answer is correct
The correct answer is A. (x=6). The inequality gives (2x>12), so (x>6). The boundary value (x=6) is not included because the sign is strict.
Step 3
Exam Tip
असमता से (2x>12) इसलिए (x>6) है। सीमा (x=6) खुले चिन्ह के कारण हल नहीं है।
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