Class 11MathematicsStraight LinesDistance between two lines, Perpendicular distance of the line from a point, Position of point w.r.t. line
EasyThe position of the point $(8, -9)$ with respect to the lines $2x + 3y - 4 = 0$ and $6x + 9y + 8 = 0$ is
- APoint lies on the same side of the lines
- BPoint lies on the different sides of the lines
- CPoint lies on one of the lines
- DNone of these
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The distance between the two parallel lines $y = 2x + 7$ and $y = 2x + 5$ is:
Easy
View Solution$A$ 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:
The set of all possible values of $\theta$ in the interval $(0, \pi)$ for which the points $(1, 2)$ and $(\sin \theta, \cos \theta)$ lie on the same side of the line $x+y=1$ is
DifficultJEE MAIN 2020
View Solution$A$ straight line is parallel to the lines $3x - y - 3 = 0$ and $3x - y + 5 = 0$ and lies between them. If its distance from these lines is in the ratio $3 : 5$,then its equation is:
Medium
View SolutionThe line $L$ given by $\frac{x}{5} + \frac{y}{b} = 1$ passes through the point $(13, 32)$. The line $K$ is parallel to $L$ and its equation is $\frac{x}{c} + \frac{y}{3} = 1$. Find the distance between $L$ and $K$.
Difficult
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