Class 11MathematicsStraight LineDistance between two lines, Perpendicular distance of the line from a point, Position of point w.r.t. line
EasyThe length of the perpendicular from the point $(b, a)$ to the line $\frac{x}{a} - \frac{y}{b} = 1$ is:
- A$\left| \frac{a^2 - ab + b^2}{\sqrt{a^2 + b^2}} \right|$
- B$\left| \frac{b^2 - ab - a^2}{\sqrt{a^2 + b^2}} \right|$
- C$\left| \frac{a^2 + ab - b^2}{\sqrt{a^2 + b^2}} \right|$
- DNone of these
Explore More
Similar Questions
If the perpendicular distances from the points $(2, 3)$,$(4, a)$ and $(\alpha, \beta)$ to the line $3x + 4y - 3 = 0$ are equal and $4\alpha - 3\beta + 1 = 0$,then the sum of all possible values of $a$,$\alpha$,and $\beta$ is:
DifficultAP EAMCET 2025
View SolutionLet $R$ be the point $(3,7)$ and let $P$ and $Q$ be two points on the line $x+y=5$ such that $\triangle PQR$ is an equilateral triangle. Then the area of $\triangle PQR$ is
DifficultJEE MAIN 2022
View SolutionThe distance of the line $2x - 3y = 4$ from the point $(1, 1)$ measured parallel to the line $x + y = 1$ is
Difficult
View SolutionThe system of equations $x+2y=3$ and $3x+6y=a-2$ has no solution if:
$A$ straight line makes an intercept on the $Y$-axis twice as long as that on the $X$-axis and is at a unit distance from the origin. Then the line is represented by the equations:
Vedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo