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


Find the angle between the line joining the points P (2, 1) and Q (3, -4) and the line joining the points A (-5, 3) and B (6, 7).

Asked by Topperlearning User 29th April 2014, 3:17 PM
Answered by Expert
Answer:

Slope of line joining the points P (2, 1) and Q (3, -4) = m1 =

Slope of line joining the points A (-5, 3) and B (6, 7) = m2 =
Angle between two lines PQ and AB is:

tan theta equals open vertical bar fraction numerator m subscript 2 minus m subscript 1 over denominator 1 plus m subscript 1 m subscript 2 end fraction close vertical bar comma space w h e r e space theta space i s space t h e space a c u t e space a n g l e.

rightwards double arrow tan theta equals open vertical bar fraction numerator begin display style 4 over 11 end style minus open parentheses minus 5 close parentheses over denominator 1 plus begin display style 4 over 11 end style cross times minus 5 end fraction close vertical bar equals 59 over 9

rightwards double arrow theta equals tan to the power of minus 1 end exponent open parentheses 59 over 9 close parentheses
Answered by Expert 29th April 2014, 5:17 PM
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!

Chat with us on WhatsApp