Angle between Lines

Find the condition that the line $3x-5y=0$ coincides with one of the lines given by $a{x}^2+2hxy+b{y}^2=0$.

Find the condition that the line $3x+y=0$ coincides with one of the lines given by $a{x}^2+2hxy+b{y}^2=0$.

Find the condition that the line $3x-2y=0$ coincides with one of the lines given by $a{x}^2+2hxy+b{y}^2=0$.

Obtain the separate equations of the lines represented by joint equation $2x^2+2xy-y^2=0$.

Obtain the separate equations of the lines represented by joint equation $x^2+2xy-y^2=0$.

Obtain the separate equations of the lines represented by joint equation $22x^2-10xy+y^2=0$.

Obtain the separate equations of the lines represented by joint equation $x^2-4xy+y^2=0$.

Obtain the separate equations of the lines represented by $11x^2+8xy+y^2=0$.

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

The joint equation of pair of lines through the origin and perpendicular to the lines given by $2x^2-3xy-9y^2=0$ is

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

The condition at which the line $4x+5y=0$ coincides with one of the lines given by $a{x}^2+2hxy+b{y}^2=0$ is 

If slopes of lines are represented by $3x^2+kxy-y^2=0$ differ by $4$, then $k=$

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

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 $8$.

If sum of the slopes of the lines represented by $b{x}^2+kxy-3y^2=0$ is twice their product, then the value of $k=$

The angle between the lines represented by $3x^2+4xy-3y^2=0$ is

Find $k,$ if the slope of one of the lines given by  $3x^2+4xy+k{y}^2=0$  is three times the other.

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

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