Prove that the equation of a straight line passing through `(acos^2theta, asin^2theta)` and perpendicular to the line `xsectheta+ycosec theta=a` is `x costheta-ysintheta=acos2theta`

Equation of the line passing through the point (acos^3theta, a sin^3theta) and perpendicular to the line xsectheta + y cosec theta =a is xcostheta-ysintheta =acos2theta .

Show that the equation of a line passing through (acos3theta,asin^3theta) and perpendicualar to the line xsectheta+ycos e ctheta=ai sxcostheta-ysintheta-acos2thetadot

The equation to the straight line passing through the point (a cos^(3)theta,a sin^(3)theta) and perpendicular to the line x sec theta+y csc theta=a is x cos theta-y sin theta=a cos2 thetax cos theta+y sin theta=a cos2 thetax sin theta+y cos theta=a cos2 theta none of these

The equation to the straight line passing through the point (a "cos"^(3) theta, a "sin"^(3) theta) and perpendicular to the line x "sec" theta + y"cosec" theta = a is

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 .

The line passing through (-1,(pi)/(2)) and perpendicular to sqrt(3)sin theta+2cos theta=(4)/(r) is

Equation of the plane which passes through the Z-axis, and is perpendicular to the line (x-a)/(cos theta) = (y-b)/(sin theta) =(z-c)/(0) is