Class 11MathematicsStraight LinesDistance 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 $P(a, b)$ to the line $\frac{x}{a} + \frac{y}{b} = 1$ is
- A$\left| \frac{\sqrt{a^{2} + b^{2}}}{ab} \right|$ units
- B$\left| \frac{ab}{\sqrt{a^{2} + b^{2}}} \right|$ units
- C$\left| \frac{b^{2}}{\sqrt{a^{2} + b^{2}}} \right|$ units
- D$\left| \frac{a^{2}}{\sqrt{a^{2} + b^{2}}} \right|$ units
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Similar Questions
Let $A$ be the point of intersection of the lines $3x + 2y = 14$ and $5x - y = 6$. Let $B$ be the point of intersection of the lines $4x + 3y = 8$ and $6x + y = 5$. The distance of the point $P(5, -2)$ from the line $AB$ is:
Find the distance between the lines $3x + 2y + 7 = 0$ and $6x + 4y + 3 = 0$.
Easy
View SolutionLet the origin be the centroid of an equilateral triangle $ABC$ and one of its sides be along the straight line $x+y=3$. If $R$ and $r$ are its circumradius and inradius respectively,then $R+r=$
$A$ variable line $L$ passes through the point $(3,5)$ and intersects the positive coordinate axes at the points $A$ and $B$. The minimum area of the triangle $OAB$,where $O$ is the origin,is:
If a line $l$ passes through $(k, 2k), (3k, 3k)$ and $(3, 1)$,where $k \neq 0$,then the distance from the origin to the line $l$ is
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