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Find the angle made by the line joining (5,3) & (-1,-3) with the positive direction o f X-axis

Asked by Sreehitha 23rd March 2017, 12:45 PM
Answered by Expert
Answer:
begin mathsize 16px style The space given space angle space is space given space by space tanθ.
We space know space that space slope equals tanθ
rightwards double arrow fraction numerator straight y subscript 2 minus straight y subscript 1 over denominator straight x subscript 2 minus straight x subscript 1 end fraction equals tan straight theta
rightwards double arrow tanθ equals fraction numerator negative 3 minus 3 over denominator negative 1 minus 5 end fraction
rightwards double arrow tanθ equals fraction numerator negative 6 over denominator negative 6 end fraction
rightwards double arrow tanθ equals 1
space We space know space that space tan 45 equals 1
So comma space straight theta equals 45 degree end stylebegin mathsize 16px style The space given space angle space is space given space by space tanθ.
We space know space that space slope equals tanθ
rightwards double arrow fraction numerator straight y subscript 2 minus straight y subscript 1 over denominator straight x subscript 2 minus straight x subscript 1 end fraction equals tan straight theta
rightwards double arrow tanθ equals fraction numerator negative 3 minus 3 over denominator negative 1 minus 5 end fraction
rightwards double arrow tanθ equals fraction numerator negative 6 over denominator negative 6 end fraction
rightwards double arrow tanθ equals 1
space We space know space that space tan 45 equals 1
So comma space straight theta equals 45 degree end style
Answered by Expert 23rd March 2017, 3:46 PM
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