Embibe Experts Solutions for Exercise 3: EXERCISE 11.3

The equation of the line with slope $\frac{-3}{2}$ and which is concurrent with the lines $4x+3y-7=0$ and $8x+5y-1=0$ is

The equations of the sides of a triangle are $x=0,y=m_{1}x+c_1$ and $y=m_{2}x+c_2$. The area of the triangle 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

The area bounded by the curves $x+2\left|y\right|=1$ and $x=0$, is

A ray of light travelling along the line $x+\sqrt{3}y=5$ is incident on the $x-$axis and after refraction it enters the other side of the $x-$axis by turning $\frac{\pi }{6}$ away from the $x-$axis. The equation of the line along which the refracted ray travels is

A ray of light is sent along the line which passes through the point $(2,3)$. The ray is reflected from the point $P$ on $x-$axis. If the reflected ray passes through the point $(6,4)$, then the co-ordinates of $P$ are

A man starts from the point $P(-3,4)$ and will reach the point $Q(0,1)$ touching the line $2x+y=7$ at $R.$ The coordinates $R$ on the line so that he will travel in the shortest distance is

The equation of base of an equilateral triangle is $x+y=2$ and the vertex is $(2,-1)$. The area of the triangle is (in sq. units)