Please wait...
1800-212-7858 (Toll Free)
9:00am - 8:00pm IST all days

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this toll free number

022-62211530

Mon to Sat - 11 AM to 8 PM


Reduce the equation 4x + 3y – 9 = 0 to the normal form and find their length of perpendicular from origin to the line

Asked by Topperlearning User 20th October 2016, 6:34 AM
Answered by Expert
Answer:

T h e space e q u a t i o n space o f space l i n e space space 4 x plus 3 y minus 9 equals 0

C o m p a r i n g space w i t h space space x cos alpha plus y sin alpha equals p comma space w e space g e t

fraction numerator cos alpha over denominator 4 end fraction equals fraction numerator sin alpha over denominator 3 end fraction equals p over 9

rightwards double arrow cos alpha equals fraction numerator 4 p over denominator 9 end fraction space a n d space sin alpha equals fraction numerator 3 p over denominator 9 end fraction space

rightwards double arrow cos squared alpha plus sin squared alpha equals fraction numerator 16 p squared over denominator 9 squared end fraction plus fraction numerator 9 p squared over denominator 9 squared end fraction equals fraction numerator 25 p squared over denominator 9 squared end fraction

rightwards double arrow 1 equals fraction numerator 25 p squared over denominator 9 squared end fraction

rightwards double arrow p equals 9 over 5
N o r m a l space F o r m equals fraction numerator 4 x over denominator 5 end fraction plus fraction numerator 3 y over denominator 5 end fraction equals 9 over 5

Answered by Expert 20th October 2016, 8:34 AM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Your answer has been posted successfully!

Free related questions

Chat with us on WhatsApp