To determine which of the following is not a linear equation in two variables, let's analyze each option: Option (a): ax+by=c This is a standard form of a linear equation in two variables x and y, where a, b, and c are constants. This is a linear equation. (a) is correct. Option (b):ax² + by = c ThiRead more
To determine which of the following is not a linear equation in two variables, let’s analyze each option:
Option (a): ax+by=c
This is a standard form of a linear equation in two variables x and y, where a, b, and c are constants. This is a linear equation. (a) is correct.
Option (b):ax² + by = c
This equation has x², which is a quadratic term, making the equation non-linear. Therefore, this is not a linear equation in two variables. (b) is incorrect.
Option (c): 2x+3y=5
This is a linear equation in two variables x and y because both x and y are raised to the first power. (c) is correct.
Option (d): 3x + 2y = 6
This is also a linear equation in two variables, where both x and y are raised to the first power. (d) is correct.
Conclusion:
The equation that is not a linear equation in two variables is (b)ax² + by = c
This question related to Chapter 4 Mathematics Class 9th NCERT. From the Chapter 4 Linear Equation in Two Variables. Give answer according to your understanding.
The point of the form (a,−a) represents a point where the x-coordinate is aaa and the y-coordinate is −a. Step 1: Let's check each option: Option (a): x=a For the point (a,−a) the x-coordinate is a. So, x=a is true. However, the equation x=a does not necessarily describe the relationship between x aRead more
The point of the form (a,−a) represents a point where the x-coordinate is aaa and the y-coordinate is −a.
Step 1: Let’s check each option:
Option (a): x=a
For the point (a,−a) the x-coordinate is a. So, x=a is true. However, the equation x=a does not necessarily describe the relationship between x and y because the y-coordinate −a, not a. Therefore, (a) is incorrect.
Option (b): y=−a
The point (a, -a) has a y-coordinate of -a. This satisfies y = -a, but it doesn’t describe the relation between x and y in general, because it does not account for both coordinates. (b) is incorrect.
Option (c): y = x
For the point (a, -a), the y – coordinate is -a, not a. Therefore, y = x does not hold true for the point. (c) is incorrect.
Option(d): x + y = 0
For the point (a, -a), if we add the coordinates, we get: x + y = a + (-a) = 0
This is true! The point (a, -a) always satisfies the equation x + y = 0.
Conclusion:
The correct answer is (d) x+y=0x + y = 0x+y=0.
This question related to Chapter 4 Mathematics Class 9th NCERT. From the Chapter 4 Linear Equation in Two Variables. Give answer according to your understanding.
When we multiply or divide both sides of a linear equation by a non-zero number, the solution of the equation remains the same. This is because multiplying or dividing both sides of an equation by the same non-zero number does not change the equality of the equation. Here's why: Multiplication: If yRead more
When we multiply or divide both sides of a linear equation by a non-zero number, the solution of the equation remains the same. This is because multiplying or dividing both sides of an equation by the same non-zero number does not change the equality of the equation.
Here’s why:
Multiplication: If you multiply both sides of the equation by the same non-zero number, the equality is maintained. For example, if the equation is x=3, multiplying both sides by 2 gives 2x=6, which still has the solution x = 3.
Division: Similarly, if you divide both sides of the equation by the same non-zero number, the equality holds. For example, if the equation is 2x=6, dividing both sides by 2 gives x=3.
Conclusion:
The solution remains the same whether we multiply or divide both sides by a non-zero number. The correct answer is (b) remains the same.
This question related to Chapter 4 Mathematics Class 9th NCERT. From the Chapter 4 Linear Equation in Two Variables. Give answer according to your understanding.
To determine the point through which the graph of the line x−y=0 passes, we can solve for y in terms of x or substitute the given options into the equation. Step 1: Rewrite the equation The equation is: x−y=0 This simplifies to: x=y Step 2: Check the options by substituting the coordinates into theRead more
To determine the point through which the graph of the line x−y=0 passes, we can solve for y in terms of x or substitute the given options into the equation.
Step 1: Rewrite the equation
The equation is: x−y=0
This simplifies to: x=y
Step 2: Check the options by substituting the coordinates into the equation x=y.
Option (a): (2, 3) Substitute x=2 and y=3 into the equation: 2 = 3
This is false. So, (a) is incorrect.
Option (b): (3, 4)
Substitute x = 3 and y = 4 into the equation: 3 = 4
This is false. So, (b) is incorrect.
Option (c): (5, 6)
Substitute x = 5y and y = 6 into the equation: 5 = 6
This is false. So, (c) is incorrect.
Option (d): (0, 0)
Substitute x = 0 and y = 0 into the equation: 0 = 0
This is true. So (d) is correct.
Conclusion:
The graph of the line x−y=0x – y = 0x−y=0 passes through (0, 0), so the correct answer is (d) (0, 0).
This question related to Chapter 4 Mathematics Class 9th NCERT. From the Chapter 4 Linear Equation in Two Variables. Give answer according to your understanding.
Step 1: Simplify the equation 2x+1=x+3 Step 2: Subtract x from both sides to get all x-terms on one side. 2x−x+1=3 x+1=3 Step 3: Subtract 1 from both sides to isolate x. x=3−1 x=2 Conclusion: The solution to the equation is x=2x = 2x=2, so the correct answer is (c) 2. This question related to ChapteRead more
Step 1: Simplify the equation
2x+1=x+3
Step 2: Subtract x from both sides to get all x-terms on one side.
2x−x+1=3
x+1=3
Step 3: Subtract 1 from both sides to isolate x.
x=3−1
x=2
Conclusion:
The solution to the equation is x=2x = 2x=2, so the correct answer is (c) 2. This question related to Chapter 4 Mathematics Class 9th NCERT. From the Chapter 4 Linear Equation in Two Variables. Give answer according to your understanding.
Which of the following is not a linear equation in two variables?
To determine which of the following is not a linear equation in two variables, let's analyze each option: Option (a): ax+by=c This is a standard form of a linear equation in two variables x and y, where a, b, and c are constants. This is a linear equation. (a) is correct. Option (b):ax² + by = c ThiRead more
To determine which of the following is not a linear equation in two variables, let’s analyze each option:
Option (a): ax+by=c
This is a standard form of a linear equation in two variables x and y, where a, b, and c are constants. This is a linear equation. (a) is correct.
Option (b):ax² + by = c
This equation has x², which is a quadratic term, making the equation non-linear. Therefore, this is not a linear equation in two variables. (b) is incorrect.
Option (c): 2x+3y=5
This is a linear equation in two variables x and y because both x and y are raised to the first power. (c) is correct.
Option (d): 3x + 2y = 6
This is also a linear equation in two variables, where both x and y are raised to the first power. (d) is correct.
Conclusion:
The equation that is not a linear equation in two variables is (b)ax² + by = c
This question related to Chapter 4 Mathematics Class 9th NCERT. From the Chapter 4 Linear Equation in Two Variables. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.in/ncert-solutions/class-9/maths/
The point of the form (a, -a) always lies on:
The point of the form (a,−a) represents a point where the x-coordinate is aaa and the y-coordinate is −a. Step 1: Let's check each option: Option (a): x=a For the point (a,−a) the x-coordinate is a. So, x=a is true. However, the equation x=a does not necessarily describe the relationship between x aRead more
The point of the form (a,−a) represents a point where the x-coordinate is aaa and the y-coordinate is −a.
Step 1: Let’s check each option:
Option (a): x=a
For the point (a,−a) the x-coordinate is a. So, x=a is true. However, the equation x=a does not necessarily describe the relationship between x and y because the y-coordinate −a, not a. Therefore, (a) is incorrect.
Option (b): y=−a
The point (a, -a) has a y-coordinate of -a. This satisfies y = -a, but it doesn’t describe the relation between x and y in general, because it does not account for both coordinates. (b) is incorrect.
Option (c): y = x
For the point (a, -a), the y – coordinate is -a, not a. Therefore, y = x does not hold true for the point. (c) is incorrect.
Option(d): x + y = 0
For the point (a, -a), if we add the coordinates, we get: x + y = a + (-a) = 0
This is true! The point (a, -a) always satisfies the equation x + y = 0.
Conclusion:
The correct answer is (d) x+y=0x + y = 0x+y=0.
This question related to Chapter 4 Mathematics Class 9th NCERT. From the Chapter 4 Linear Equation in Two Variables. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.in/ncert-solutions/class-9/maths/
If we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation:
When we multiply or divide both sides of a linear equation by a non-zero number, the solution of the equation remains the same. This is because multiplying or dividing both sides of an equation by the same non-zero number does not change the equality of the equation. Here's why: Multiplication: If yRead more
When we multiply or divide both sides of a linear equation by a non-zero number, the solution of the equation remains the same. This is because multiplying or dividing both sides of an equation by the same non-zero number does not change the equality of the equation.
Here’s why:
Multiplication: If you multiply both sides of the equation by the same non-zero number, the equality is maintained. For example, if the equation is x=3, multiplying both sides by 2 gives 2x=6, which still has the solution x = 3.
Division: Similarly, if you divide both sides of the equation by the same non-zero number, the equality holds. For example, if the equation is 2x=6, dividing both sides by 2 gives x=3.
Conclusion:
The solution remains the same whether we multiply or divide both sides by a non-zero number. The correct answer is (b) remains the same.
This question related to Chapter 4 Mathematics Class 9th NCERT. From the Chapter 4 Linear Equation in Two Variables. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.in/ncert-solutions/class-9/maths/
The graph of line x – y = 0 passes through:
To determine the point through which the graph of the line x−y=0 passes, we can solve for y in terms of x or substitute the given options into the equation. Step 1: Rewrite the equation The equation is: x−y=0 This simplifies to: x=y Step 2: Check the options by substituting the coordinates into theRead more
To determine the point through which the graph of the line x−y=0 passes, we can solve for y in terms of x or substitute the given options into the equation.
Step 1: Rewrite the equation
The equation is: x−y=0
This simplifies to: x=y
Step 2: Check the options by substituting the coordinates into the equation x=y.
Option (a): (2, 3) Substitute x=2 and y=3 into the equation: 2 = 3
This is false. So, (a) is incorrect.
Option (b): (3, 4)
Substitute x = 3 and y = 4 into the equation: 3 = 4
This is false. So, (b) is incorrect.
Option (c): (5, 6)
Substitute x = 5y and y = 6 into the equation: 5 = 6
This is false. So, (c) is incorrect.
Option (d): (0, 0)
Substitute x = 0 and y = 0 into the equation: 0 = 0
This is true. So (d) is correct.
Conclusion:
The graph of the line x−y=0x – y = 0x−y=0 passes through (0, 0), so the correct answer is (d) (0, 0).
This question related to Chapter 4 Mathematics Class 9th NCERT. From the Chapter 4 Linear Equation in Two Variables. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.in/ncert-solutions/class-9/maths/
Solution of the equation 2x + 1 = x + 3 is:
Step 1: Simplify the equation 2x+1=x+3 Step 2: Subtract x from both sides to get all x-terms on one side. 2x−x+1=3 x+1=3 Step 3: Subtract 1 from both sides to isolate x. x=3−1 x=2 Conclusion: The solution to the equation is x=2x = 2x=2, so the correct answer is (c) 2. This question related to ChapteRead more
Step 1: Simplify the equation
2x+1=x+3
Step 2: Subtract x from both sides to get all x-terms on one side.
2x−x+1=3
x+1=3
Step 3: Subtract 1 from both sides to isolate x.
x=3−1
x=2
Conclusion:
The solution to the equation is x=2x = 2x=2, so the correct answer is (c) 2. This question related to Chapter 4 Mathematics Class 9th NCERT. From the Chapter 4 Linear Equation in Two Variables. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.in/ncert-solutions/class-9/maths/