Find the angle between the lines represented by `x^2+2x ysectheta+y^2=0`

If the angle between the two lines represented by 2x^2+5x y+3y^2+6x+7y+4=0 is tan^(-1)(m), then find the value of mdot

Find the acute angle between the pair of lines represented by x(cosalpha-ysinalpha)^2=(x^2+y^2)sin^2alpha

Find the value of a for which the lines represented by a x^2+5x y+2y^2=0 are mutually perpendicular.

Find the combined equation of the pair of lines through the point (1, 0) and parallel to the lines represented by 2x^2-x y-y^2=0

Find the angle between the lines 3x^(2)-10xy-3y^(2)=0 :

The distance between the two lines represented by the equation 9x^2-24xy+16y^2-12x+16y-12=0 is

Distance between the pair of lines represented by the equation x^(2)– 6xy +9y^(2)+ 3x - 9y -4 = 0 is

The angle between the lines x=1,y=2 and y=-1 ,z=0 is

If theta is the angle between the lines given by the equation 6x^2+5x y-4y^2+7x+13 y-3=0 , then find the equation of the line passing through the point of intersection of these lines and making an angle theta with the positive x-axis.

Find the angle between the tangents drawn to y^2=4x , where it is intersected by the line y=x-1.