Maharashtra Board Solutions for Chapter: Pair of Straight Lines, Exercise 4: MISCELLANEOUS EXERCISE 4

If the lines represented by $k{x}^2-3xy+6y^2=0$ are perpendicular to each other then _____

If the equation $3x^2-8xy+q{y}^2+2x+14y+p=1$ represents a pair of perpendicular lines then the values of $p$ and $q$ are respectively

Find $k$ if

The sum of the slopes of the lines given by $3x^2+kxy-y^2=0$ is zero.

Find $k$ if

The sum of slopes of the lines given by $2x^2+kxy-3y^2=0$ is equal to their product.

Find $k$ if

The slope of one of the lines given by $3x^2-4xy+k{y}^2=0$ is $1$.

Find $k$ if

One of the lines given by $3x^2-kxy+5y^2=0$ is perpendicular to the $5x+3y=0$.

Find $k$ if

The slopes of lines given by $k{x}^2+5xy+y^2=0$ differ by $1$.

Find $k$ if

One of the lines given by $6x^2+kxy+y^2=0$ is $2x+y=0$.