The equation y=−4 represents a horizontal line where the value of y is always−4 for any value of x. Analyzing the options: Option (a): parallel to the x-axis Since the value of y remains constant at−4 for all values of x, the line is horizontal, which means it is parallel to the x-axis. This optionRead more
The equation y=−4 represents a horizontal line where the value of y is always−4 for any value of x.
Analyzing the options:
Option (a): parallel to the x-axis Since the value of y remains constant at−4 for all values of x, the line is horizontal, which means it is parallel to the x-axis. This option is correct.
Option (b): parallel to the y-axis
A line parallel to the y-axis would have an equation of the form x=constant, not y=−4. Therefore, this option is incorrect.
Option (c): passes through the origin
The origin is at (0,0), but the equation y=−4 represents a line where y is always −4, so the line does not pass through the origin. This option is incorrect.
Option (d): None of these
Since we have already found the correct option, this is incorrect.
Conclusion:
The correct answer is (a) parallel to the x-axis. 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 solve the equation x - 2y = 4, we will substitute the value of x and y from the given options and check which one satisfies the equation. Checking the options: Option (a): (0, 2) Substitute x = 0 and y = 2 into the equation: 0 -2(2) = 0 - 4 = -4 This does not satisfy the equation x - 2y = 4. So,Read more
To solve the equation x – 2y = 4, we will substitute the value of x and y from the given options and check which one satisfies the equation.
Checking the options:
Option (a): (0, 2) Substitute x = 0 and y = 2 into the equation:
0 -2(2) = 0 – 4 = -4
This does not satisfy the equation x – 2y = 4. So, (a) is incorrect.
Option (b): (4, 0)
Substitute x = 4 and y = 0 into the equation:
4 – 2(0) = 4 – 0 = 4
This satisfies the equation x – 2y = 4. So , (b) is correct.
Option (c): (2, 0)
Substitute x = 2 and y = 0 into the equation:
2−2(0)=2−0=2
This does not satisfy the equation x−2y=4. So, (c) is incorrect.
Conclusion:
The correct solution is (b) (4, 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.
Correct option (a) 0 Understanding the Ordinate of Points on the X-Axis In a coordinate plane: The abscissa is the x-coordinate of a point (x,y). The ordinate is the y-coordinate of a point (x,y). Any point on the x-axis has a y-coordinate of 0, meaning its general form is (x,0). Conclusion: The orRead more
Correct option (a) 0
Understanding the Ordinate of Points on the X-Axis
In a coordinate plane:
The abscissa is the x-coordinate of a point (x,y).
The ordinate is the y-coordinate of a point (x,y).
Any point on the x-axis has a y-coordinate of 0, meaning its general form is (x,0).
Conclusion:
The ordinate (y-coordinate) of all points on the x-axis is always 0.
The x-coordinate (abscissa) can be any number, but the ordinate remains 0.
Final Answer: (a) 0.
This question related to Chapter 3 Mathematics Class 9th NCERT. From the Chapter 3 Coordinate Geometry. Give answer according to your understanding.
Correct option (d) any number. Understanding the Abscissa of Points on the X-Axis In a coordinate plane: The abscissa is the x-coordinate of a point (x, y). The ordinate is the y-coordinate of a point (x, y). Any point on the x-axis has a y-coordinate of 0, meaning its general form is (x, 0). ConcluRead more
Correct option (d) any number.
Understanding the Abscissa of Points on the X-Axis
In a coordinate plane: The abscissa is the x-coordinate of a point (x, y).
The ordinate is the y-coordinate of a point (x, y).
Any point on the x-axis has a y-coordinate of 0, meaning its general form is (x, 0).
Conclusion:
The x-coordinate (abscissa) can be any number because points on the x-axis extend infinitely in both directions.
The y-coordinate (ordinate) is always 0 for all points on the x-axis.
Final Answer: (d) any number.
This question related to Chapter 3 Mathematics Class 9th NCERT. From the Chapter 3 Coordinate Geometry. Give answer according to your understanding.
Determining the Location of the Point (0, -2) A point (x, y) is located based on its coordinates: If x = 0, the point lies on the y-axis. If y = 0, the point lies on the x-axis. If both x and y are nonzero, the point is in a specific quadrant. Given Point: (0, -2) The x- coordinate is 0, meaning theRead more
Determining the Location of the Point (0, -2)
A point (x, y) is located based on its coordinates:
If x = 0, the point lies on the y-axis.
If y = 0, the point lies on the x-axis.
If both x and y are nonzero, the point is in a specific quadrant.
Given Point: (0, -2)
The x- coordinate is 0, meaning the point lies on the y-axis.
The y-coordinate is -2, meaning it is in the negative direction of the y-axis.
Final Answer: (b) on the negative direction of the y-axis.
This question related to Chapter 3 Mathematics Class 9th NCERT. From the Chapter 3 Coordinate Geometry. Give answer according to your understanding.
In graphical representation of y = -4, line is:
The equation y=−4 represents a horizontal line where the value of y is always−4 for any value of x. Analyzing the options: Option (a): parallel to the x-axis Since the value of y remains constant at−4 for all values of x, the line is horizontal, which means it is parallel to the x-axis. This optionRead more
The equation y=−4 represents a horizontal line where the value of y is always−4 for any value of x.
Analyzing the options:
Option (a): parallel to the x-axis Since the value of y remains constant at−4 for all values of x, the line is horizontal, which means it is parallel to the x-axis. This option is correct.
Option (b): parallel to the y-axis
A line parallel to the y-axis would have an equation of the form x=constant, not y=−4. Therefore, this option is incorrect.
Option (c): passes through the origin
The origin is at (0,0), but the equation y=−4 represents a line where y is always −4, so the line does not pass through the origin. This option is incorrect.
Option (d): None of these
Since we have already found the correct option, this is incorrect.
Conclusion:
The correct answer is (a) parallel to the x-axis. 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.
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The solution of the equation x – 2y = 4 is:
To solve the equation x - 2y = 4, we will substitute the value of x and y from the given options and check which one satisfies the equation. Checking the options: Option (a): (0, 2) Substitute x = 0 and y = 2 into the equation: 0 -2(2) = 0 - 4 = -4 This does not satisfy the equation x - 2y = 4. So,Read more
To solve the equation x – 2y = 4, we will substitute the value of x and y from the given options and check which one satisfies the equation.
Checking the options:
Option (a): (0, 2) Substitute x = 0 and y = 2 into the equation:
0 -2(2) = 0 – 4 = -4
This does not satisfy the equation x – 2y = 4. So, (a) is incorrect.
Option (b): (4, 0)
Substitute x = 4 and y = 0 into the equation:
4 – 2(0) = 4 – 0 = 4
This satisfies the equation x – 2y = 4. So , (b) is correct.
Option (c): (2, 0)
Substitute x = 2 and y = 0 into the equation:
2−2(0)=2−0=2
This does not satisfy the equation x−2y=4. So, (c) is incorrect.
Conclusion:
The correct solution is (b) (4, 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/
Ordinate of the all the points on x – axis is:
Correct option (a) 0 Understanding the Ordinate of Points on the X-Axis In a coordinate plane: The abscissa is the x-coordinate of a point (x,y). The ordinate is the y-coordinate of a point (x,y). Any point on the x-axis has a y-coordinate of 0, meaning its general form is (x,0). Conclusion: The orRead more
Correct option (a) 0
Understanding the Ordinate of Points on the X-Axis
In a coordinate plane:
The abscissa is the x-coordinate of a point (x,y).
The ordinate is the y-coordinate of a point (x,y).
Any point on the x-axis has a y-coordinate of 0, meaning its general form is (x,0).
Conclusion:
The ordinate (y-coordinate) of all points on the x-axis is always 0.
The x-coordinate (abscissa) can be any number, but the ordinate remains 0.
Final Answer: (a) 0.
This question related to Chapter 3 Mathematics Class 9th NCERT. From the Chapter 3 Coordinate Geometry. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.in/ncert-solutions/class-9/maths/
Abscissa of the all the points on x – axis is:
Correct option (d) any number. Understanding the Abscissa of Points on the X-Axis In a coordinate plane: The abscissa is the x-coordinate of a point (x, y). The ordinate is the y-coordinate of a point (x, y). Any point on the x-axis has a y-coordinate of 0, meaning its general form is (x, 0). ConcluRead more
Correct option (d) any number.
Understanding the Abscissa of Points on the X-Axis
In a coordinate plane: The abscissa is the x-coordinate of a point (x, y).
The ordinate is the y-coordinate of a point (x, y).
Any point on the x-axis has a y-coordinate of 0, meaning its general form is (x, 0).
Conclusion:
The x-coordinate (abscissa) can be any number because points on the x-axis extend infinitely in both directions.
The y-coordinate (ordinate) is always 0 for all points on the x-axis.
Final Answer: (d) any number.
This question related to Chapter 3 Mathematics Class 9th NCERT. From the Chapter 3 Coordinate Geometry. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.in/ncert-solutions/class-9/maths/
Point (0, -2 lies in the:
Determining the Location of the Point (0, -2) A point (x, y) is located based on its coordinates: If x = 0, the point lies on the y-axis. If y = 0, the point lies on the x-axis. If both x and y are nonzero, the point is in a specific quadrant. Given Point: (0, -2) The x- coordinate is 0, meaning theRead more
Determining the Location of the Point (0, -2)
A point (x, y) is located based on its coordinates:
If x = 0, the point lies on the y-axis.
If y = 0, the point lies on the x-axis.
If both x and y are nonzero, the point is in a specific quadrant.
Given Point: (0, -2)
The x- coordinate is 0, meaning the point lies on the y-axis.
The y-coordinate is -2, meaning it is in the negative direction of the y-axis.
Final Answer: (b) on the negative direction of the y-axis.
This question related to Chapter 3 Mathematics Class 9th NCERT. From the Chapter 3 Coordinate Geometry. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.in/ncert-solutions/class-9/maths/