Embibe Experts Solutions for Chapter: Pair of Straight Lines, Exercise 1: MHT-CET 2018

If one of the lines given by the equation $x^2+kxy+2y^2=0$ is $x+2y=0,$ then $k=$

The joint equation of a pair of lines passing through the point of intersection of lines $2x^2-xy-15y^2-7x+32y-9=0$ and parallel to co-ordinate axes is

If the equation $x^2-3xy+\lambda y^2+3x-5y+2=0$ represents a pair of lines, where $\lambda$ is a real number and $\theta$ is an angle between them, then value of $\mathrm{cosec}{}^2\theta$ is

The point of intersection of lines represented by $x^2-y^2+x+3y-2=0$ is

The line $5x+y-1=0$ coincides with one of the lines given by $5x^2+xy-kx-2y+2=0$ then the value of $k$ is

The auxiliary equation of the lines passing through the origin and having slopes $\sqrt{3}+1$ and $\sqrt{3}-1$ is

If the slope of one of the lines given by $a{x}^2+2hxy+b{y}^2=0$ is two times the other then

If slopes of lines represented by $K{x}^2+5xy+y^2=0$ differ by $1$ then $K=$