Geometry

2D Coordinate Geometry

Coordinate Geometry - Angle Bisector

         

Which of the following is one of the equations of the bisectors of the angles between 12x+3y+11=0 and3x12y=0?\begin{aligned} 12x+3y+11 &= 0 \text{ and} \\ 3x-12y &= 0 ? \end{aligned}

Which of the following lines is a locus of equidistant points from the two lines 12x+5y+31=0 and5x+12y+3=0?\begin{aligned} 12x+5y+31 &= 0 \text{ and} \\ -5x+12y+3 &= 0 ? \end{aligned}

For the three points P=(4,0),P=(-4,0), Q=(0,0)Q=(0,0) and R=(2,23),R=(2,2\sqrt{3}), what is the equation of the bisector of the angle PQR?\angle{PQR}?

Let y=15x\displaystyle y=-\frac{1}{\sqrt{5}}x be one of the two bisectors of the angles between two lines px+qy+r=0,px+qy+r=0px+qy+r=0, p'x+q'y+r'=0 which intersect at the point P=(25,2).P=(-2\sqrt{5},2). What is the yy-intercept of the other bisector?

Let P=(5,0)P=(-5,0), Q=(0,0)Q=(0,0) and R=(5,53)R=(5,5\sqrt{3}) be three points on the xyxy-plane. Then what is the equation of the bisector of the angle PQR?\angle PQR ?

×

Problem Loading...

Note Loading...

Set Loading...