Find the distance between the points $A\left(x_{1}, y_{1}\right)$ and $B\left(x_{2}, y_{2}\right)$, when
(i) $\mathrm{AB}$ is parallel to the $\mathrm{x}$-axis
(ii) $A B$ is parallel to the $y$-axis.
(i) Given: AB is parallel to the x-axis.
When AB is parallel to the x-axis, the y co-ordinate of A and B will be the same.
i.e., $y_{1}=y_{2}$
Distance
$=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{1}-y_{1}\right)^{2}}$
$\Rightarrow\left|x_{2}-x_{1}\right|$
Therefore the distance between $A$ and $B$ when $A B$ is parallel to $x$-axis is $\left|x_{2}-x_{1}\right|$
(ii) Given: $A B$ is parallel to the $y$-axis.
When $A B$ is parallel to the $y$-axis, the $x$ co-ordinate of $A$ and $B$ will be the same.
i.e., $X_{2}=X_{1}$
Distance
$=\sqrt{\left(x_{1}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}$
$\Rightarrow\left|y_{2}-y_{1}\right|$
Therefore the distance between $A$ and $B$ when $A B$ is parallel to $y$-axis is $\left|y_{2}-y_{1}\right|$
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All Study Material
- JEE Main
- Exam Pattern
- Previous Year Papers
- PYQ Chapterwise
- Physics
- Kinematics 1D
- Kinemetics 2D
- Friction
- Work, Power, Energy
- Centre of Mass and Collision
- Rotational Dynamics
- Gravitation
- Calorimetry
- Elasticity
- Thermal Expansion
- Heat Transfer
- Kinetic Theory of Gases
- Thermodynamics
- Simple Harmonic Motion
- Wave on String
- Sound waves
- Fluid Mechanics
- Electrostatics
- Current Electricity
- Capacitor
- Magnetism and Matter
- Electromagnetic Induction
- Atomic Structure
- Dual Nature of Matter
- Nuclear Physics
- Radioactivity
- Semiconductors
- Communication System
- Error in Measurement & instruments
- Alternating Current
- Electromagnetic Waves
- Wave Optics
- X-Rays
- All Subjects
- Physics
- Motion in a Plane
- Law of Motion
- Work, Energy and Power
- Systems of Particles and Rotational Motion
- Gravitation
- Mechanical Properties of Solids
- Mechanical Properties of Fluids
- Thermal Properties of matter
- Thermodynamics
- Kinetic Theory
- Oscillations
- Waves
- Electric Charge and Fields
- Electrostatic Potential and Capacitance
- Current Electricity
- Thermoelectric Effects of Electric Current
- Heating Effects of Electric Current
- Moving Charges and Magnetism
- Magnetism and Matter
- Electromagnetic Induction
- Alternating Current
- Electromagnetic Wave
- Ray Optics and Optical Instruments
- Wave Optics
- Dual Nature of Radiation and Matter
- Atoms
- Nuclei
- Semiconductor Electronics: Materials, Devices and Simple Circuits.
- Chemical Effects of Electric Current,