Embibe Experts Solutions for Chapter: Straight Line, Exercise 1: CUSAT CAT 2017

If the three points $A\left(1, 6\right), B\left(3, -4\right)$ and $C\left(x, y\right)$ are collinear then the equation satisfying by $x$ and $y$ is

The points $\left(k-1, k+2\right), \left(k, k+1\right), \left(k+1, k\right)$ are collinear for

Let $A\left(2,-1\right)$ and $B\left(6, 5\right)$ are two points. The ratio in which the foot of the perpendicular from $\left(4,1\right)$ divides $AB$ is

$ABCD$ is square with $A(1,2), B(3,-4)$. If line $CD$ passes through $(3,8)$ then midpoint of $CD$ is

A straight line through $\left(-3,4\right)$ be such that the portion intercepted by the axes is divided at $\left(-3,4\right)$ in the ratio $4:1$ externally, then which of the following is not a point on the line

The points $\left(0,\frac{8}{3}\right),\left(1,3\right),\left(82,30\right)$

If $C$ is the reflection of $A\left(2, 4\right)$ in $x$-axis and $B$ is the reflection of $C$ in $y$-axis then $\left|AB\right|$ is -

The lines $x+2y+3=0, x+2y-7=0$ and $2x-y-4=0$ are three sides of a square. Equation of the remaining side of the square can be