help@askiitians.com

1800-150-456-789

Algebra> If p , p’ are the lengths of the perpendi...

question mark

If p , p’ are the lengths of the perpendiculars from the origin from the straight line, whose equations are xsecR+ycosecR=a amd xcosR-ysinR=acos2R, then show that 4p2 + 4p’2=a2 .

Shreya Rajpal , 10 Years ago

Grade 11

1 Answers

Arun Kumar

Last Activity: 10 Years ago

Hello Student

from what i understand by your representation.

$\\p'= { acos^2R \over \sqrt{sin^2R+cos^2R}}=|acos^2R| \\p=|{ a \over \sqrt{sec^2R+cosec^2R} }|=|{ asinRcosR }|=|{asin2R \over 2}| \\=>4p^2 + 4p'^2 \\=>4(a^2cos^4R+{a^2sin^22R \over 4}) \\=>cos^2R={1 +cos2R \over 2} \\=>4a^2( { 1/4+1/4+cos2R/2})=4a^2(1+cos2R)/2= \\=>4a^2cos^2R$

Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty

Provide a better Answer & Earn Cool Goodies

Enter text here...

LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

Full Live Access

Study Material

Live Doubts Solving

Daily Class Assignments

Ask a Doubt

Get your questions answered by the expert for free

Enter text here...

question mark

What is a binomial expression?

Algebra

1 Answer Available

Last Activity: 10 Month ago(s)

question mark

Can we divide two vectors? If this is possible then how?

Algebra

1 Answer Available

Last Activity: 10 Month ago(s)

question mark

How do you write “the product of 18 and q” as an algebraic expression?

Algebra

1 Answer Available

Last Activity: 10 Month ago(s)

question mark

दहावीच्या आय सी एस इ विद्यार्थ्यांनी पुढे काय करायला पाहिजे

Algebra

0 Answer Available

Last Activity: 1 Year ago(s)

question mark

Find the least number of square tiles by which the floor of a room of dimensions 16.58 m and 8.32 m can be covered completely. why HCF and not LCM as “least” keywor dis given?

Algebra

1 Answer Available

Last Activity: 2 Year ago(s)

View all Questions