Maharashtra Board Solutions for Chapter: Pair of Straight Lines, Exercise 1: Exercise 4.1

Find the combined equation of the following pairs of lines:

$2x+y=0$ and $3x-y=0$

Find the combined equation of the following pairs of lines:

$x+2y-1=0$ and $x-3y+2=0$

Find the separate equations of the lines represented by following equations:

$x^2+2xy\tan \alpha -y^2=0$

Find the combined equation of a pair of lines passing through the origin and perpendicular to the lines represented by following equations:

$xy+y^2=0$

Find the combined equation of a pair of lines passing through the origin and perpendicular to the lines represented by following equations:

$3x^2-4xy=0$

Find $k$ if the sum of the slopes of the lines represented by $x^2+kxy-3y^2=0$ is twice their product.

Find $k$ if slopes of lines represent by $3x^2+kxy-y^2=0$ differ by $4$.

Find $k$ if slope of one of the lines given by $k{x}^2+4xy-y^2=0$ exceeds the slope of the other by $8$ .