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CBSE Class 11-science Answered

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 | 29 Apr, 2014, 03:17: PM
answered-by-expert 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 | 29 Apr, 2014, 05:17: PM

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