Circle and triangle are flat shapes. Exam tip: two-dimensional shapes do not have depth.
Step 2
Why this answer is correct
The correct answer is D. वृत्त और त्रिभुज / Circle and triangle. Circle and triangle are flat shapes. Exam tip: two-dimensional shapes do not have depth.
Step 3
Exam Tip
वृत्त और त्रिभुज समतल आकार हैं। परीक्षा में द्वि आयामी में गहराई नहीं होती।
Volume of form is made through value and shadow. Exam tip: think light direction first for form.
Step 2
Why this answer is correct
The correct answer is C. मान प्रकाश और छाया / Value light and shadow. Volume of form is made through value and shadow. Exam tip: think light direction first for form.
Step 3
Exam Tip
रूप का आयतन मान और छाया से बनता है। परीक्षा में रूप के लिए पहले प्रकाश दिशा सोचें।
C. जब उसमें लंबाई चौड़ाई और गहराई हो/When it has length width and depth
Step 1
Concept
Form has three dimensions. Exam tip: treat length width depth as the identity of form.
Step 2
Why this answer is correct
The correct answer is C. जब उसमें लंबाई चौड़ाई और गहराई हो / When it has length width and depth. Form has three dimensions. Exam tip: treat length width depth as the identity of form.
Step 3
Exam Tip
रूप में तीन आयाम होते हैं। परीक्षा में length width depth को form की पहचान मानें।
A. सतह के साथ बदलती दिशा और घनता/Direction and density changing with surface
Step 1
Concept
Line changing with surface makes volume felt. In exams read form direction before drawing lines.
Step 2
Why this answer is correct
The correct answer is A. सतह के साथ बदलती दिशा और घनता / Direction and density changing with surface. Line changing with surface makes volume felt. In exams read form direction before drawing lines.
Step 3
Exam Tip
सतह के अनुसार रेखा बदलने से आयतन महसूस होता है। परीक्षा में रूप की दिशा पढ़कर रेखा बनाएं।
A mango drawn on paper is a flat closed area. Exam tip: identify a drawn object first as shape.
Step 2
Why this answer is correct
The correct answer is D. द्वि आयामी आकार / Two-dimensional shape. A mango drawn on paper is a flat closed area. Exam tip: identify a drawn object first as shape.
Step 3
Exam Tip
कागज पर बना आम सपाट बंद क्षेत्र है। परीक्षा में बनी वस्तु को पहले आकार की तरह पहचानें।
Sculpture is a three-dimensional form. Exam tip: treat sculpture as a key example of form.
Step 2
Why this answer is correct
The correct answer is D. त्रि आयामी रूप / Three-dimensional form. Sculpture is a three-dimensional form. Exam tip: treat sculpture as a key example of form.
Step 3
Exam Tip
मूर्तिकला त्रि आयामी रूप होती है। परीक्षा में मूर्तिकला को रूप का प्रमुख उदाहरण मानें।
Different values show different faces of a cube. Exam tip: remember light side and dark side in cube.
Step 2
Why this answer is correct
The correct answer is D. त्रि आयामी प्रभाव / Three-dimensional effect. Different values show different faces of a cube. Exam tip: remember light side and dark side in cube.
Step 3
Exam Tip
अलग मान घन की अलग सतहें दिखाते हैं। परीक्षा में घन में उजले और गहरे भाग याद रखें।
A. बिंदु (\left\(3,5\right\))/Point (\left\(3,5\right\))
Step 1
Concept
Subtracting the second equation from the first gives (y=5), then (x+5=8) gives (x=3). In a real situation, the meeting point is the graphical solution.
Step 2
Why this answer is correct
The correct answer is A. बिंदु (\left\(3,5\right\)) / Point (\left\(3,5\right\)). Subtracting the second equation from the first gives (y=5), then (x+5=8) gives (x=3). In a real situation, the meeting point is the graphical solution.
Step 3
Exam Tip
पहले समीकरण से दूसरे को घटाने पर (y=5), फिर (x+5=8) से (x=3)। वास्तविक स्थिति में मिलन बिंदु ही ग्राफीय हल है।
Subtracting the equations gives (2x=8), so (x=4) and (y=8). In real life, the meeting point is the intersection point.
Step 2
Why this answer is correct
The correct answer is A. ( (4,8) ). Subtracting the equations gives (2x=8), so (x=4) and (y=8). In real life, the meeting point is the intersection point.
Step 3
Exam Tip
दोनों समीकरण घटाने पर (2x=8), इसलिए (x=4) और (y=8)। वास्तविक जीवन में मिलन बिंदु ही प्रतिच्छेद बिंदु होता है।
Subtracting the equations gives (x=5), then (5+y=9) gives (y=4). In real life, the meeting point is the intersection.
Step 2
Why this answer is correct
The correct answer is B. ( (5,4) ). Subtracting the equations gives (x=5), then (5+y=9) gives (y=4). In real life, the meeting point is the intersection.
Step 3
Exam Tip
दोनों समीकरण घटाने पर (x=5), फिर (5+y=9) से (y=4)। वास्तविक जीवन में मिलन बिंदु ही प्रतिच्छेद है।
Adding both equations gives (2x=12), so (x=6) and (y=4). In a real situation, the meeting point is the graphical solution.
Step 2
Why this answer is correct
The correct answer is B. ( (6,4) ). Adding both equations gives (2x=12), so (x=6) and (y=4). In a real situation, the meeting point is the graphical solution.
Step 3
Exam Tip
दोनों समीकरण जोड़ने पर (2x=12), इसलिए (x=6) और (y=4)। वास्तविक स्थिति में मिलन बिंदु ही ग्राफीय हल है।
A. क्योंकि यह अधिकार संस्कृति श्रम और शासन नियंत्रण से भी जुड़ा था/Because it was also linked with rights culture labour and state control
Step 1
Concept
Tribals connected forests with culture as well as livelihood.
Step 2
Why this answer is correct
Forced labour and government control deepened discontent.
Step 3
Exam Tip
Understand tribal movements through many dimensions. चरण 1: जंगलों से आदिवासी आजीविका के साथ संस्कृति भी जोड़ते थे। चरण 2: जबरन श्रम और सरकारी नियंत्रण ने असंतोष को और गहरा किया। चरण 3: आदिवासी आंदोलन को कई आयामों से समझें।
When all three determinants are zero, the equations may be dependent. In Class (10), link this with infinitely many solutions.
Step 2
Why this answer is correct
The correct answer is C. अनंत हल / Infinitely many solutions. When all three determinants are zero, the equations may be dependent. In Class (10), link this with infinitely many solutions.
Step 3
Exam Tip
तीनों सारणिक शून्य होने पर समीकरण आश्रित हो सकते हैं। कक्षा (10) में इसे अनंत हल की स्थिति से जोड़कर देखें।
B. \(\frac{a_1}{a_2}=\frac{b_1}{b_2}\neq\frac{c_1}{c_2}\)
Step 1
Concept
For distinct parallel lines, coefficient ratios are equal and the constant ratio is different. This is the condition for no solution.
Step 2
Why this answer is correct
The correct answer is B. \(\frac{a_1}{a_2}=\frac{b_1}{b_2}\neq\frac{c_1}{c_2}\). For distinct parallel lines, coefficient ratios are equal and the constant ratio is different. This is the condition for no solution.
Step 3
Exam Tip
अलग समांतर रेखाओं में गुणांक अनुपात समान और स्थिर पद अनुपात अलग होता है। यही कोई हल नहीं की शर्त है।
Same slope and same intercept mean the same line. Therefore, such a pair has infinitely many solutions.
Step 2
Why this answer is correct
The correct answer is C. अनंत हल / Infinitely many solutions. Same slope and same intercept mean the same line. Therefore, such a pair has infinitely many solutions.
Step 3
Exam Tip
समान ढाल और समान अवरोध का अर्थ एक ही रेखा है। इसलिए ऐसे युग्म में अनंत हल होते हैं।
Lines with different slopes meet at exactly one point. Hence the pair is consistent and independent.
Step 2
Why this answer is correct
The correct answer is C. अद्वितीय हल / Unique solution. Lines with different slopes meet at exactly one point. Hence the pair is consistent and independent.
Step 3
Exam Tip
अलग ढाल वाली रेखाएँ केवल एक बिंदु पर मिलती हैं। इसलिए युग्म संगत और स्वतंत्र होता है।
When coefficient ratios are different, the lines intersect at one point. Therefore, a unique solution is obtained.
Step 2
Why this answer is correct
The correct answer is C. अद्वितीय हल / Unique solution. When coefficient ratios are different, the lines intersect at one point. Therefore, a unique solution is obtained.
Step 3
Exam Tip
गुणांक अनुपात अलग होने पर रेखाएँ एक बिंदु पर कटती हैं। इसलिए अद्वितीय हल मिलता है।
The second equation is (3) times the first. Therefore, both conditions give the same information and have infinitely many solutions.
Step 2
Why this answer is correct
The correct answer is C. अनंत हल / Infinitely many solutions. The second equation is (3) times the first. Therefore, both conditions give the same information and have infinitely many solutions.
Step 3
Exam Tip
दूसरा समीकरण पहले का (3) गुना है। इसलिए दोनों शर्तें एक ही जानकारी देती हैं और अनंत हल होते हैं।
The second equation is (3) times the first. Therefore, both conditions give the same information and have infinitely many solutions.
Step 2
Why this answer is correct
The correct answer is C. अनंत हल / Infinitely many solutions. The second equation is (3) times the first. Therefore, both conditions give the same information and have infinitely many solutions.
Step 3
Exam Tip
दूसरा समीकरण पहले का (3) गुना है। इसलिए दोनों शर्तें एक ही जानकारी देती हैं और अनंत हल होते हैं।
The second equation is (3) times the first. Therefore, both conditions give the same information and have infinitely many solutions.
Step 2
Why this answer is correct
The correct answer is C. अनंत हल / Infinitely many solutions. The second equation is (3) times the first. Therefore, both conditions give the same information and have infinitely many solutions.
Step 3
Exam Tip
दूसरा समीकरण पहले का (3) गुना है। इसलिए दोनों शर्तें एक ही जानकारी देती हैं और अनंत हल होते हैं।
C. युग्म संगत और स्वतंत्र है/The pair is consistent and independent
Step 1
Concept
Lines with different slopes meet at one point. Therefore, the pair has one unique solution.
Step 2
Why this answer is correct
The correct answer is C. युग्म संगत और स्वतंत्र है / The pair is consistent and independent. Lines with different slopes meet at one point. Therefore, the pair has one unique solution.
Step 3
Exam Tip
अलग ढाल वाली रेखाएं एक बिंदु पर मिलती हैं। इसलिए युग्म का एक अद्वितीय हल होता है।
Same slope and different intercepts make the lines distinct parallel. Therefore, the pair is inconsistent.
Step 2
Why this answer is correct
The correct answer is B. असंगत / Inconsistent. Same slope and different intercepts make the lines distinct parallel. Therefore, the pair is inconsistent.
Step 3
Exam Tip
समान ढाल और अलग अवरोध रेखाओं को अलग समानांतर बनाते हैं। इसलिए युग्म असंगत होता है।
Same slope and same intercept mean both lines are identical. Therefore, the pair has infinitely many solutions.
Step 2
Why this answer is correct
The correct answer is C. अनंत हल / Infinitely many solutions. Same slope and same intercept mean both lines are identical. Therefore, the pair has infinitely many solutions.
Step 3
Exam Tip
समान ढाल और समान अवरोध का अर्थ है कि दोनों रेखाएं एक ही हैं। इसलिए युग्म के अनंत हल होते हैं।
Here \(2/5 \ne 7/16\) so the lines intersect at one point. Such a pair has one unique solution.
Step 2
Why this answer is correct
The correct answer is A. एक अद्वितीय हल / One unique solution. Here \(2/5 \ne 7/16\) so the lines intersect at one point. Such a pair has one unique solution.
Step 3
Exam Tip
यहां \(2/5 \ne 7/16\) इसलिए रेखाएं एक बिंदु पर कटती हैं। ऐसे युग्म का एक अद्वितीय हल होता है।
The second equation is (3) times the first. Therefore both conditions give the same information and have infinitely many solutions.
Step 2
Why this answer is correct
The correct answer is C. अनंत हल / Infinitely many solutions. The second equation is (3) times the first. Therefore both conditions give the same information and have infinitely many solutions.
Step 3
Exam Tip
दूसरा समीकरण पहले का (3) गुना है। इसलिए दोनों शर्तें एक ही जानकारी देती हैं और अनंत हल होते हैं।
The first two ratios (4/8=3/6) are equal but (125/260) is different. Therefore, the system is inconsistent.
Step 2
Why this answer is correct
The correct answer is C. असंगत / Inconsistent. The first two ratios (4/8=3/6) are equal but (125/260) is different. Therefore, the system is inconsistent.
Step 3
Exam Tip
पहले दो अनुपात (4/8=3/6) बराबर हैं लेकिन (125/260) अलग है। इसलिए प्रणाली असंगत है।
The second equation is (2) times the first. Therefore, both conditions give the same information and have infinitely many solutions.
Step 2
Why this answer is correct
The correct answer is C. अनंत हल / Infinitely many solutions. The second equation is (2) times the first. Therefore, both conditions give the same information and have infinitely many solutions.
Step 3
Exam Tip
दूसरा समीकरण पहले का (2) गुना है। इसलिए दोनों शर्तें एक ही जानकारी देती हैं और अनंत हल होते हैं।
Same slope and different intercepts make the lines distinct parallel. Therefore, there is no common solution.
Step 2
Why this answer is correct
The correct answer is B. कोई हल नहीं / No solution. Same slope and different intercepts make the lines distinct parallel. Therefore, there is no common solution.
Step 3
Exam Tip
समान ढाल और अलग अवरोध रेखाओं को अलग समानांतर बनाते हैं। इसलिए कोई सामान्य हल नहीं होता।
Same slope and same intercept mean both lines are identical. Therefore, the pair is consistent and dependent.
Step 2
Why this answer is correct
The correct answer is C. संगत और आश्रित / Consistent and dependent. Same slope and same intercept mean both lines are identical. Therefore, the pair is consistent and dependent.
Step 3
Exam Tip
समान ढाल और समान अवरोध का मतलब दोनों रेखाएं एक ही हैं। इसलिए युग्म संगत और आश्रित होता है।
The second equation is (2) times the first. Therefore, both conditions give the same information and have infinitely many solutions.
Step 2
Why this answer is correct
The correct answer is C. अनंत हल / Infinitely many solutions. The second equation is (2) times the first. Therefore, both conditions give the same information and have infinitely many solutions.
Step 3
Exam Tip
दूसरा समीकरण पहले का (2) गुना है। इसलिए दोनों शर्तें एक ही जानकारी देती हैं और अनंत हल होते हैं।
Lines with different slopes meet at one point. Therefore, the pair has one unique solution.
Step 2
Why this answer is correct
The correct answer is C. एक अद्वितीय हल / One unique solution. Lines with different slopes meet at one point. Therefore, the pair has one unique solution.
Step 3
Exam Tip
अलग ढाल वाली रेखाएं एक बिंदु पर मिलती हैं। इसलिए युग्म का एक अद्वितीय हल होता है।
Same slope and different intercepts make the lines distinct parallel. Therefore, there is no common solution.
Step 2
Why this answer is correct
The correct answer is B. कोई हल नहीं / No solution. Same slope and different intercepts make the lines distinct parallel. Therefore, there is no common solution.
Step 3
Exam Tip
समान ढाल और अलग अवरोध रेखाओं को अलग समानांतर बनाते हैं। इसलिए कोई सामान्य हल नहीं होता।
Same slope and same intercept mean both lines are the same. Therefore, the pair is consistent and dependent.
Step 2
Why this answer is correct
The correct answer is C. संगत और आश्रित / Consistent and dependent. Same slope and same intercept mean both lines are the same. Therefore, the pair is consistent and dependent.
Step 3
Exam Tip
समान ढाल और समान अवरोध का मतलब दोनों रेखाएं एक ही हैं। इसलिए युग्म संगत और आश्रित है।
Same slope and same intercept mean both lines are the same. Therefore they have infinitely many solutions.
Step 2
Why this answer is correct
The correct answer is C. संपाती / Coincident. Same slope and same intercept mean both lines are the same. Therefore they have infinitely many solutions.
Step 3
Exam Tip
समान ढाल और समान अवरोध का मतलब दोनों रेखाएं एक ही हैं। इसलिए उनके अनंत हल होते हैं।
B. युग्म संगत और स्वतंत्र है/The pair is consistent and independent
Step 1
Concept
Lines with different slopes meet at one point. Therefore the pair has one unique solution.
Step 2
Why this answer is correct
The correct answer is B. युग्म संगत और स्वतंत्र है / The pair is consistent and independent. Lines with different slopes meet at one point. Therefore the pair has one unique solution.
Step 3
Exam Tip
अलग ढाल वाली रेखाएं एक बिंदु पर मिलती हैं। इसलिए युग्म में एक अद्वितीय हल होता है।
B. (4/7 \ne 1 / 2) इसलिए एक अद्वितीय हल / 2) so one unique solution
Step 1
Concept
Here \(4/7 \ne 1/2\) so the lines will intersect. In exams this is the direct condition for a unique solution.
Step 2
Why this answer is correct
The correct answer is B. \(4 / 7 \ne 1 / 2\) इसलिए एक अद्वितीय हल / 2) so one unique solution. Here \(4/7 \ne 1/2\) so the lines will intersect. In exams this is the direct condition for a unique solution.
Step 3
Exam Tip
यहां \(4/7 \ne 1/2\) इसलिए रेखाएं कटेंगी। परीक्षा में यह unique solution की सीधी शर्त है।
A. जब (a_1/a_2=b_1 / b_2=c_1 / c_2) हो / When \(a_1 / c_2\)
Step 1
Concept
If all three ratios are equal both equations represent the same line. This is a consistent and dependent pair.
Step 2
Why this answer is correct
The correct answer is A. जब \(a_1 / a_2=b_1 / b_2=c_1 / c_2\) हो / When \(a_1 / c_2\). If all three ratios are equal both equations represent the same line. This is a consistent and dependent pair.
Step 3
Exam Tip
तीनों अनुपात बराबर हों तो दोनों समीकरण समान रेखा दर्शाते हैं। यही संगत और आश्रित युग्म है।
C. जब (a_1/a_2 \ne b_1 / b_2) हो / When \(a_1 / b_2\)
Step 1
Concept
A consistent and independent pair has one unique solution. For this the ratios of (a) and (b) must be different.
Step 2
Why this answer is correct
The correct answer is C. जब \(a_1 / a_2 \ne b_1 / b_2\) हो / When \(a_1 / b_2\). A consistent and independent pair has one unique solution. For this the ratios of (a) and (b) must be different.
Step 3
Exam Tip
संगत और स्वतंत्र युग्म में एक अद्वितीय हल होता है। इसके लिए (a) और (b) के अनुपात अलग होने चाहिए।
One intersection point is the common solution of both equations. Therefore exactly one unique solution is obtained.
Step 2
Why this answer is correct
The correct answer is B. एक अद्वितीय हल / One unique solution. One intersection point is the common solution of both equations. Therefore exactly one unique solution is obtained.
Step 3
Exam Tip
कटने का एक बिंदु दोनों समीकरणों का सामान्य हल होता है। इसलिए केवल एक अद्वितीय हल मिलता है।
Lines with different slopes meet at exactly one point. Therefore the pair is consistent and independent.
Step 2
Why this answer is correct
The correct answer is C. एक अद्वितीय हल / One unique solution. Lines with different slopes meet at exactly one point. Therefore the pair is consistent and independent.
Step 3
Exam Tip
अलग ढाल वाली रेखाएं एक ही बिंदु पर मिलती हैं। इसलिए युग्म संगत और स्वतंत्र होता है।
Same slope and different intercepts make the lines parallel and distinct. Therefore there is no common solution.
Step 2
Why this answer is correct
The correct answer is B. असंगत / Inconsistent. Same slope and different intercepts make the lines parallel and distinct. Therefore there is no common solution.
Step 3
Exam Tip
समान ढाल और अलग अवरोध से रेखाएं समानांतर और अलग होती हैं। इसलिए कोई सामान्य हल नहीं होता।
Same slope and same intercept make both lines identical. Therefore infinitely many solutions are obtained.
Step 2
Why this answer is correct
The correct answer is C. अनंत हल / Infinitely many solutions. Same slope and same intercept make both lines identical. Therefore infinitely many solutions are obtained.
Step 3
Exam Tip
समान ढाल और समान अवरोध से दोनों रेखाएं एक ही हो जाती हैं। इसलिए अनंत हल मिलते हैं।
Infinitely many common solutions occur only when both equations represent the same line. In exams this can be written as coincident lines.
Step 2
Why this answer is correct
The correct answer is B. एक ही रेखा / Same line. Infinitely many common solutions occur only when both equations represent the same line. In exams this can be written as coincident lines.
Step 3
Exam Tip
अनंत सामान्य हल तभी मिलते हैं जब दोनों समीकरण एक ही रेखा दर्शाते हैं। परीक्षा में इसे coincident lines लिख सकते हैं।
Having no common solution identifies an inconsistent pair. In a graph it appears as distinct parallel lines.
Step 2
Why this answer is correct
The correct answer is C. असंगत / Inconsistent. Having no common solution identifies an inconsistent pair. In a graph it appears as distinct parallel lines.
Step 3
Exam Tip
कोई सामान्य हल न होना असंगत युग्म की पहचान है। ग्राफ में यह अलग समानांतर रेखाओं जैसा दिखता है।
One common point gives one unique solution. Therefore it is a consistent and independent pair.
Step 2
Why this answer is correct
The correct answer is A. संगत और स्वतंत्र / Consistent and independent. One common point gives one unique solution. Therefore it is a consistent and independent pair.
Step 3
Exam Tip
एक सामान्य बिंदु होने से एक अद्वितीय हल मिलता है। इसलिए यह संगत और स्वतंत्र युग्म है।
Completely overlapping lines are coincident. Every point on them satisfies both equations.
Step 2
Why this answer is correct
The correct answer is C. अनंत हल / Infinitely many solutions. Completely overlapping lines are coincident. Every point on them satisfies both equations.
Step 3
Exam Tip
पूरी तरह मिलने वाली रेखाएं संपाती होती हैं। उनके प्रत्येक बिंदु से दोनों समीकरण संतुष्ट होते हैं।
Same slope and same intercept make both lines identical. Therefore, they have infinitely many solutions.
Step 2
Why this answer is correct
The correct answer is B. संपाती रेखाएं / Coincident lines. Same slope and same intercept make both lines identical. Therefore, they have infinitely many solutions.
Step 3
Exam Tip
समान ढाल और समान अवरोध से दोनों रेखाएं एक ही होती हैं। इसलिए उनके अनंत हल होते हैं।
Lines with different slopes meet at one point. Therefore, the pair has one unique solution.
Step 2
Why this answer is correct
The correct answer is A. एक अद्वितीय हल / One unique solution. Lines with different slopes meet at one point. Therefore, the pair has one unique solution.
Step 3
Exam Tip
अलग ढाल वाली रेखाएं एक बिंदु पर मिलती हैं। इसलिए युग्म का एक अद्वितीय हल होता है।
Same slope and different intercepts make the lines parallel. Distinct parallel lines give no solution.
Step 2
Why this answer is correct
The correct answer is B. कोई हल नहीं / No solution. Same slope and different intercepts make the lines parallel. Distinct parallel lines give no solution.
Step 3
Exam Tip
समान ढाल और अलग अवरोध रेखाओं को समानांतर बनाते हैं। समानांतर अलग रेखाएं कोई हल नहीं देतीं।
One common point gives exactly one solution. Such a pair is consistent independent.
Step 2
Why this answer is correct
The correct answer is A. संगत और स्वतंत्र / Consistent and independent. One common point gives exactly one solution. Such a pair is consistent independent.
Step 3
Exam Tip
एक सामान्य बिंदु होने से केवल एक हल मिलता है। ऐसा युग्म consistent independent होता है।
Coincident lines give infinitely many common points. Such a pair is called consistent dependent.
Step 2
Why this answer is correct
The correct answer is B. संगत और आश्रित / Consistent and dependent. Coincident lines give infinitely many common points. Such a pair is called consistent dependent.
Step 3
Exam Tip
संपाती रेखाएं अनंत सामान्य बिंदु देती हैं। ऐसा युग्म consistent dependent कहलाता है।
A. जब कम से कम एक हल हो/When there is at least one solution
Step 1
Concept
A consistent pair has at least one common solution. It may have one solution or infinitely many solutions.
Step 2
Why this answer is correct
The correct answer is A. जब कम से कम एक हल हो / When there is at least one solution. A consistent pair has at least one common solution. It may have one solution or infinitely many solutions.
Step 3
Exam Tip
संगत युग्म में कम से कम एक सामान्य हल होता है। यह एक हल या अनंत हल दोनों हो सकता है।
An inconsistent pair has no common solution. In a graph, it appears as parallel lines.
Step 2
Why this answer is correct
The correct answer is A. जब कोई हल न हो / When there is no solution. An inconsistent pair has no common solution. In a graph, it appears as parallel lines.
Step 3
Exam Tip
असंगत युग्म का कोई सामान्य हल नहीं होता। ग्राफ में यह समानांतर रेखाओं से दिखता है।
Parallel lines never meet, so there is no common point. In exams, connect parallel lines with no solution.
Step 2
Why this answer is correct
The correct answer is C. कोई हल नहीं / No solution. Parallel lines never meet, so there is no common point. In exams, connect parallel lines with no solution.
Step 3
Exam Tip
समानांतर रेखाएं कभी नहीं मिलतीं, इसलिए कोई सामान्य बिंदु नहीं होता। परीक्षा में parallel lines को no solution से जोड़ें।
The intersection point satisfies both equations. In a graph, one intersection means a unique solution.
Step 2
Why this answer is correct
The correct answer is B. एक अद्वितीय हल / One unique solution. The intersection point satisfies both equations. In a graph, one intersection means a unique solution.
Step 3
Exam Tip
कटने का बिंदु दोनों समीकरणों को संतुष्ट करता है। ग्राफ में एक intersection का मतलब unique solution है।
When coefficient ratios are different, the lines meet at one point. In exams, check the ratios of (a) and (b) first.
Step 2
Why this answer is correct
The correct answer is B. एक अद्वितीय हल / One unique solution. When coefficient ratios are different, the lines meet at one point. In exams, check the ratios of (a) and (b) first.
Step 3
Exam Tip
जब गुणांकों के अनुपात अलग होते हैं, रेखाएं एक बिंदु पर मिलती हैं। परीक्षा में पहले (a) और (b) के अनुपात जांचें।
Let the angles be (x) and (y), so \(x+y=90^\circ\) and \(x-y=28^\circ\). Adding gives \(2x=118^\circ\), so the larger angle is \(59^\circ\).
Step 2
Why this answer is correct
The correct answer is C. \(59^\circ\). Let the angles be (x) and (y), so \(x+y=90^\circ\) and \(x-y=28^\circ\). Adding gives \(2x=118^\circ\), so the larger angle is \(59^\circ\).
Step 3
Exam Tip
यदि कोण (x) और (y) हों तो \(x+y=90^\circ\) और \(x-y=28^\circ\)। जोड़ने पर \(2x=118^\circ\), इसलिए बड़ा कोण \(59^\circ\) है।
Let the prices be (x) and (y), so (x+y=275) and (x-y=65). Subtracting gives (2y=210), so the cheaper ticket is (105) rupees.
Step 2
Why this answer is correct
The correct answer is C. (105) रुपये / (105) rupees. Let the prices be (x) and (y), so (x+y=275) and (x-y=65). Subtracting gives (2y=210), so the cheaper ticket is (105) rupees.
Step 3
Exam Tip
यदि कीमतें (x) और (y) हों तो (x+y=275) और (x-y=65)। घटाने से (2y=210), इसलिए सस्ता टिकट (105) रुपये है।
Let the tens digit be (x) and the units digit be (y), so (x-y=4). In exams, write the original number as (10x+y) and the reversed number as (10y+x).
Step 2
Why this answer is correct
The correct answer is B. (62). Let the tens digit be (x) and the units digit be (y), so (x-y=4). In exams, write the original number as (10x+y) and the reversed number as (10y+x).
Step 3
Exam Tip
दहाई अंक (x) और इकाई अंक (y) मानकर (x-y=4) बनता है। परीक्षा में मूल संख्या (10x+y) और उलटी संख्या (10y+x) लिखें।
Let the tens digit be (x) and the units digit be (y), giving (x+y=11) and (9x-9y=27). In exams, write a two-digit number as (10x+y).
Step 2
Why this answer is correct
The correct answer is A. (74). Let the tens digit be (x) and the units digit be (y), giving (x+y=11) and (9x-9y=27). In exams, write a two-digit number as (10x+y).
Step 3
Exam Tip
दहाई अंक (x) और इकाई अंक (y) मानकर (x+y=11) और (9x-9y=27) बनता है। परीक्षा में दो अंकों की संख्या को (10x+y) लिखें।
