The first two conditions give (x+y=6), and the next two give (x-y=2). Their intersection is ((4,2)).
Step 2
Why this answer is correct
The correct answer is D. केवल बिंदु ((4,2)) / Only the point ((4,2)). The first two conditions give (x+y=6), and the next two give (x-y=2). Their intersection is ((4,2)).
Step 3
Exam Tip
पहली दो शर्तें (x+y=6) और अगली दो शर्तें (x-y=2) देती हैं। दोनों रेखाओं का प्रतिच्छेद ((4,2)) है।
In the first quadrant, both (x) and (y) are non-negative. The condition \(x+y\le 0\) is possible only when both are (0).
Step 2
Why this answer is correct
The correct answer is B. केवल ((0,0)) / only ((0,0)). In the first quadrant, both (x) and (y) are non-negative. The condition \(x+y\le 0\) is possible only when both are (0).
Step 3
Exam Tip
प्रथम चतुर्थांश में (x) और (y) दोनों गैर-ऋणात्मक हैं। \(x+y\le 0\) तभी संभव है जब दोनों (0) हों।
B. सिर्फ ( -1 ) पर बंद बिंदु/Only a closed dot at ( -1 )
Step 1
Concept
The common part of both intervals is only ( -1 ). Since ( -1 ) is included in both, it becomes a closed dot.
Step 2
Why this answer is correct
The correct answer is B. सिर्फ ( -1 ) पर बंद बिंदु / Only a closed dot at ( -1 ). The common part of both intervals is only ( -1 ). Since ( -1 ) is included in both, it becomes a closed dot.
Step 3
Exam Tip
दोनों अंतरालों का साझा भाग केवल ( -1 ) है। दोनों में ( -1 ) शामिल है इसलिए बंद बिंदु बनेगा।
This inequality is satisfied only by (x=2) so one closed dot is drawn. In exams treat a closed interval with equal endpoints as a single point.
Step 2
Why this answer is correct
The correct answer is B. (2) पर केवल बंद बिंदु / Only a closed dot at (2). This inequality is satisfied only by (x=2) so one closed dot is drawn. In exams treat a closed interval with equal endpoints as a single point.
Step 3
Exam Tip
यह असमानता केवल (x=2) को संतुष्ट करती है इसलिए एक बंद बिंदु बनेगा। परीक्षा में समान दोनों सिरों वाले closed interval को single point मानें।
The equation (x=3) represents only one number. For a single included value, draw a closed point.
Step 2
Why this answer is correct
The correct answer is A. (3) पर एक भरा बिंदु / A closed point at (3). The equation (x=3) represents only one number. For a single included value, draw a closed point.
Step 3
Exam Tip
समीकरण (x=3) केवल एक संख्या को दर्शाता है। एकमात्र मान के लिए भरा बिंदु बनाते हैं।