Class 9 Exam  >  Class 9 Questions  >  Can you explain the answer of this question b... Start Learning for Free
Can you explain the answer of this question below:
The positive solution of equation ax + by + c = 0 always lie in the:
  • A:
    3rd quadrant
  • B:
    Ist quadrant
  • C:
    4th quadrant
  • D:
    2nd quadrant
The answer is b.
Verified Answer
Can you explain the answer of this question below:The positive solutio...
The solution of the linear equation is represented by the ordered pair (x, y).
If x > 0, y > 0, then solution lies in first quadrant.
View all questions of this test
Most Upvoted Answer
Can you explain the answer of this question below:The positive solutio...
**Explanation:**

To understand why the positive solution of the equation ax + by + c = 0 always lies in the first quadrant, let's break down the equation and analyze the possibilities for the values of a, b, and c.

**1. Equation Analysis:**
The equation ax + by + c = 0 represents a linear equation in two variables x and y. Here, a, b, and c are constants.

**2. Quadrants Overview:**
In the coordinate plane, there are four quadrants numbered from 1 to 4 in an anti-clockwise direction. The first quadrant is in the top-right, the second quadrant is in the top-left, the third quadrant is in the bottom-left, and the fourth quadrant is in the bottom-right.

**3. Positive Solution:**
The positive solution of an equation refers to the values of x and y that satisfy the equation and are positive numbers.

**4. Analyzing the Equation:**
Let's consider the given equation ax + by + c = 0.

- If both a and b are positive, then for the equation to hold true, x and y must also be positive. Therefore, the positive solution lies in the first quadrant.
- If both a and b are negative, then for the equation to hold true, x and y must be negative. Therefore, the positive solution does not exist in any quadrant.
- If a is positive and b is negative, then for the equation to hold true, x must be positive and y must be negative. Therefore, the positive solution does not exist in any quadrant.
- Similarly, if a is negative and b is positive, then for the equation to hold true, x must be negative and y must be positive. Therefore, the positive solution does not exist in any quadrant.

**5. Conclusion:**
From our analysis, we can conclude that the positive solution of the equation ax + by + c = 0 always lies in the first quadrant (option B) when both a and b are positive values.
Free Test
Community Answer
Can you explain the answer of this question below:The positive solutio...
Yes it will be 1 st quadrant becoz ax+by+c=0 all are positive numbers
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
Explore Courses for Class 9 exam

Top Courses for Class 9

Can you explain the answer of this question below:The positive solution of equation ax + by + c = 0 always lie in the:A:3rdquadrantB:IstquadrantC:4thquadrantD:2ndquadrantThe answer is b.
Question Description
Can you explain the answer of this question below:The positive solution of equation ax + by + c = 0 always lie in the:A:3rdquadrantB:IstquadrantC:4thquadrantD:2ndquadrantThe answer is b. for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Can you explain the answer of this question below:The positive solution of equation ax + by + c = 0 always lie in the:A:3rdquadrantB:IstquadrantC:4thquadrantD:2ndquadrantThe answer is b. covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Can you explain the answer of this question below:The positive solution of equation ax + by + c = 0 always lie in the:A:3rdquadrantB:IstquadrantC:4thquadrantD:2ndquadrantThe answer is b..
Solutions for Can you explain the answer of this question below:The positive solution of equation ax + by + c = 0 always lie in the:A:3rdquadrantB:IstquadrantC:4thquadrantD:2ndquadrantThe answer is b. in English & in Hindi are available as part of our courses for Class 9. Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of Can you explain the answer of this question below:The positive solution of equation ax + by + c = 0 always lie in the:A:3rdquadrantB:IstquadrantC:4thquadrantD:2ndquadrantThe answer is b. defined & explained in the simplest way possible. Besides giving the explanation of Can you explain the answer of this question below:The positive solution of equation ax + by + c = 0 always lie in the:A:3rdquadrantB:IstquadrantC:4thquadrantD:2ndquadrantThe answer is b., a detailed solution for Can you explain the answer of this question below:The positive solution of equation ax + by + c = 0 always lie in the:A:3rdquadrantB:IstquadrantC:4thquadrantD:2ndquadrantThe answer is b. has been provided alongside types of Can you explain the answer of this question below:The positive solution of equation ax + by + c = 0 always lie in the:A:3rdquadrantB:IstquadrantC:4thquadrantD:2ndquadrantThe answer is b. theory, EduRev gives you an ample number of questions to practice Can you explain the answer of this question below:The positive solution of equation ax + by + c = 0 always lie in the:A:3rdquadrantB:IstquadrantC:4thquadrantD:2ndquadrantThe answer is b. tests, examples and also practice Class 9 tests.
Explore Courses for Class 9 exam

Top Courses for Class 9

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev