Embibe Experts Solutions for Chapter: Straight Line, Exercise 1: Assam CEE 2016

The line $(K+1{)}^{2}x+Ky-2K^2-2=0$ passes through a point regardless of the value of $K$. Which of the following is the equation of the line with slope $2$ and passing through that point?

The equation of straight line which passes through the point $\left(a{\cos }^3\theta ,a{\sin }^3\theta \right)$ and perpendicular to $x\sec \theta +ycosec\theta =a$ is

A ray travelling along the line $3x+4y=11$, after being reflected from a line $l$ travels along the line $12x-5y=2$. Then one of the equations of the line $l$ is

A straight line with negative slope passing through $\left(1,1\right)$ cuts the $x$-axis at $A$ and $y$-axis at $B$, where $O$ is the origin. If $\theta =\angle OAB$, then the area of the triangle $OAB$ is 

The region represented by the inequation system $x\ge 0,y\ge 0,x\le y,x+3y\le 60,x+y\ge 10$ is

The points $\left(a,b+c\right),\left(b,c+a\right),\left(c,a+b\right)$ are the vertices of which of the following?

The straight lines $x+y=0,3x+y-4=0$ and $x+3y-4=0$ form a traingle which is

The area of the parallelogram formed by the lines $y=mx,y=mx+1,y=nx$ and $y=nx+1$  equals