Tag: bisection of angle

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Multiple choice maths pair of straight lines bisection of angle pair of bisectors of angles bisector of angle between lines

The equation of the bisector of the obtuse angle between the lines 3x-4y+7=0 and 12x+5y-2=0 is: 

  1. 21 x+77y-101=0

  2. 21 x+77 y+101=0

  3. 21x-77y-101=0

  4. 21x-77y+101=0
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Explanation

To find the bisector of the obtuse angle, calculate the bisectors using the formula (3x - 4y + 7)/5 = +/- (12x + 5y - 2)/13. Test which one corresponds to the obtuse angle by checking the sign of the expression.