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

The equation of a straight line, which passes through the point $\left(-3,5\right)$ such that the portion of it between the axes is divided by the point in the ratio $5:3$ internally (reckoning from $x$-axis), will be-

The co-ordinates of the point of reflection of the origin $\left(0,0\right)$ in the line $4x-2y-5=0$ is

If $A\equiv \left(t^2,2t\right),B\equiv \left(\frac{1}{t^2},-\frac{2}{t}\right)$ and $S\equiv (1,0)$, then $\frac{1}{SA}+\frac{1}{SB}$ is equal to

The co-ordinates of foot of the perpendicular drawn on line $3x-4y-5=0$ from the point $\left(0,5\right)$ is-

Let $P=(-1,0), Q=(0,0)$ and $R=(\sqrt{3},3)$ be three points. The equation of the bisector of angle $PQR$ is

If one diagonal of a square is along the line $x=2y$ and one of its vertex is $\left(3,0\right)$, then its sides through this vertex are given by the equations-

If $a, b$ and $c$ are in $A.P.$ then $ax+by+c=0$ will always pass through a fixed point whose co-ordinates are

In $∆ABC$, if $A\equiv (1,2)$ and equations of the medians through $B$ and $C$ are $x+y=5$ and $x=4$, then point $B$ must be