If p and q are the lengths of perpendiculars from the origin to the lines `xcostheta-ysintheta=kcos2theta` and `xsec""theta+y" cosec"""theta=""k` , respectively, prove that `p^2+4q^2=k^2` .

If p and q are the lengths of perpendiculars from the origin to the lines xcostheta-ysintheta=kcos2theta and xsectheta+yc o s e ctheta=k , respectively, prove that p^2+4q^2=k^2 .

If p and q are the lengths of perpendicular from the origin to the line xcos(theta)-ysin(theta)=kcos(2theta) and xsec(theta)+ycosec(theta)=k respectively , then prove that p^2+4q^2=k^2

If p_1a n d\ p_2 are the lengths of te perpendiculars from the origin upon the lines x\ s e ctheta+h y cos e ctheta=a\ a n d\ xcostheta-ysintheta=acos2theta respectively, then a.4p1 2+p2 2=a^2 b. p1 2-4p2 2=a^2 c. p1 2+p2 2=a^2 d. none of these

If p\ and\ q be the perpendicular form the origin upon the straight lines x s e ctheta+ycosectheta=a\ and\ xcostheta-y sintheta=acos2theta Prove that : 4p^2+q^2=a^2\ dot

Prove that cot 2 theta + tan theta = cosec 2 theta

Prove that cos^2 theta cosec theta+sin theta=cosec theta

if P is the length of perpendicular from origin to the line x/a+y/b=1 then prove that 1/(a^2)+1/(b^2)=1/(p^2)

If p and q are respectively the perpendiculars from the origin upon the striaght lines, whose equations are x sec theta + y cosec theta =a and x cos theta -y sin theta = acos 2 theta , then 4p^(2) + q^(2) is equal to

If sintheta+costheta=pandsectheta+"cosec"theta=q then prove that q(p^(2)-1)=2p .

If p and q are respectively the perpendiculars from the origin upon the striaght lines, whose equations are x sec theta + y cosec theta =a and x cos theta -y sin theta = a cos 2 theta , then 4p^(2) + q^(2) is equal to