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If P1 and P2 denotes the length of perpendiculars from the origin on the lines xsecb+ycosecb=2a (b=alpha) and xcosb+ysinb=acos2b respectively then (p1/p2,P2/P1) is equal to

If P1 and P2 denotes the length of perpendiculars from the origin on the lines xsecb+ycosecb=2a (b=alpha) and xcosb+ysinb=acos2b respectively then (p1/p2,P2/P1) is equal to

Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

Dear pallavi

use perpendicular distance formula

p1 =|2a|/√(sec2α + cosec2α)

    = |2a|/√1/sin2α cos2α)

     =|asin2α|

p2  =|acos2α|/√(sin2α +cos2α)

      =|acos2α|

 

p1/p2 = tan2α

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