Question:
Write the joint equation of co-ordinate axes.
Write the joint equation of co-ordinate axes.
Show Hint
The joint equation of two lines passing through the origin is the product of their equations set to zero.
Updated On: Nov 10, 2025
Hide Solution
Verified By Collegedunia
Solution and Explanation
The coordinate axes are the x-axis (\( y = 0 \)) and the y-axis (\( x = 0 \)). The joint equation represents the pair of straight lines:
\[
x = 0 \quad \text{or} \quad y = 0 \quad \Rightarrow \quad x \cdot y = 0.
\]
Thus, the joint equation is:
\[
xy = 0.
\]
Was this answer helpful?
0
0
Top Questions on Coordinate Geometry
- In the $XY$-plane, the area, in sq. units, of the region defined by the inequalities $y \ge x + 4$ and $-4 \le x^2 + y^2 + 4(x - y) \le 0$ is
- CAT - 2024
- Quantitative Aptitude
- Coordinate Geometry
- The coordinates of the three vertices of a triangle are: (1, 2), (7, 2), and (1, 10). Then the radius of the incircle of the triangle is
- CAT - 2024
- Quantitative Aptitude
- Coordinate Geometry
- If \( \theta \) is the acute angle between the lines represented by \( ax^2 + 2hxy + by^2 = 0 \), then prove that \( \tan \theta = \frac{2 \sqrt{h^2 - ab}}{a + b} \).
- Maharashtra Class XII - 2023
- Mathematics
- Coordinate Geometry
- If \( ax^2 + 2hxy + by^2 = 0 \) represents a pair of lines and \( h^2 = ab \neq 0 \), then find the ratio of their slopes.
- Maharashtra Class XII - 2023
- Mathematics
- Coordinate Geometry
- Find the cartesian coordinates of the point whose polar coordinates are \( \left( 2, \frac{\pi}{4} \right) \).
- Maharashtra Class XII - 2023
- Mathematics
- Coordinate Geometry
View More Questions
Questions Asked in Maharashtra Class XII exam
- If \(|\vec{a}| = 5\), \(|\vec{b}| = 13\), and \(|\vec{a} \times \vec{b}| = 25\), then \(|\vec{a} \cdot \vec{b}|\) is equal to ........
- Maharashtra Class XII - 2025
- Vector Algebra
- "If two systems are each in thermal equilibrium with a third system, they are also in thermal equilibrium with each other." This statement refers to :
- Maharashtra Class XII - 2025
- Thermodynamics
- What is Brewster's law? Derive the formula for Brewster's angle.
- Maharashtra Class XII - 2025
- Wave Optics
- Express the following switching circuit in the symbolic form of logic. Construct the switching table and interpret it. \includegraphics[width=0.5\linewidth]{01.jpeg}
- Maharashtra Class XII - 2025
- Switching Circuits
- Find the coordinates of the points of intersection of the lines represented by \( x^2 - y^2 - 2x + 1 = 0 \).
- Maharashtra Class XII - 2025
- Conic Sections and Intersection of Curves
View More Questions