Find the equation of the straight line whichpasses throought the two points : `(a, b), (a+r cos alpha, b + r sin alpha)`

Find the equation of the straight line whichpasses throought the two points : (at_1^2 , 2at_1), (at_2^2, 2at_2)

Find the equation of the straight line whichpasses through the point (2, 3) and cuts off equal intercepts on the axes.

Find the equation of the straight line which passes through the point (alpha, beta) and is parallel to the line lx+my+n=0

Find the equation of the straight line whichpasses through the point (1, 1) and the point of intersection of the lines 3x+2y=0 and x-2y=0

Find the equation of the straight line through the point (alpha,beta) and perpendiculasr to the line l x+m y+n=0.

Find the equation of the straight lines passing through the origin making an angle alpha with the straight line y=mx+c .

Find the equation of the straight line through the origin making angle alpha with the line y=mx+b .

Prove that the equation of a line passes through the point (a cos^(3)alpha , a sin^(3)alpha ) and perpendicular to the line x tan alpha+y=a sin alpha is x cos alpha-y sin alpha-a cos 2 alpha .

Find the equation of the straight line through (a cos theta, b sin theta) perpendicular to the line x/(a cos theta)+ y/(b sin theta) = 1 .

Find the value of p so that the straight line x cos alpha + y sin alpha - p may touch the circle x^(2) + y^(2)-2ax cos alpha - 2ay sin alpha = 0 .