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 lines passing through the following pair of point: (a cos alpha,a sin alpha)and(a cos beta,a sin beta)

Find the equation of the straight lines passing through the following pair of point: (a,b) and (a+c sin alpha,b+c cos alpha)

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

Eliminate alpha , if x = r cos alpha , y = r sin alpha .

Find the equation of the line through the points (p sec alpha,0) and (0,p cos ec alpha)

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 .

Show that the equation of a line passing through the point (a cos^(3)alpha,a sin^(3)alpha) and perpendicular to the line x sec alpha+y cos ec alpha=a is x cos alpha-sin alpha=a cos2 alpha

Show that the equation of the straight line x cos alpha+y sin alpha=p can be expressed in the following form (x-p cos alpha)/(-sin alpha)=(y-psi n alpha)/(cos alpha)=r