Embibe Experts Solutions for Chapter: Straight Line, Exercise 1: KEAM 2018

If the points $\mathrm{P}(7,5), \mathrm{Q}(\mathrm{a},2\mathrm{a})$ and $\mathrm{R}(12,30)$ are collinear, then the value $\mathrm{a}$ is equal to

If each vertex of a triangle is an integer, then triangle will not be.

$ABC$ is an isoceless triangle. If the coordinates of the base are $B(1, 3), C(-2, 7),$ the coordinates of $A$ are

The equation of the line passing through the point $(-3,7)$ with slope zero is

Which one of the following points lies on the straight line $\frac{\mathrm{x}-1}{2}=\frac{\mathrm{y}+1}{4}=\frac{\mathrm{z}-2}{-2}$?

If the straight lines $4\mathrm{x}+6\mathrm{y}=5$ and $6\mathrm{x}+\mathrm{ky}=3$ are parallel, then the value of $\mathrm{k}$ is equal to

If $(\mathrm{a},2)$ is the point of intersection of the straight the straight lines $\mathrm{y}=2\mathrm{x}-4$ and $\mathrm{y}=\mathrm{x}+\mathrm{c}$, then the value of $\mathrm{c}$ is equal to

Distance between the lines  $4x+3y=6$ and $4x+3y=11$ is