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.
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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.
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
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