2D Coordinate Geometry

Concept Quizzes

Coordinate Geometry Warmup
Coordinate Geometry - Identifying Quadrants
Midpoint of a Line Segment
Distance between Two Points
Distance between point and line
Section Formula
Locus of Points
Determining Coordinates
Coordinate Geometry - Angle Bisector
2D Coordinate Geometry - Problem Solving

Challenge Quizzes

2D Coordinate Geometry: Level 2 Challenges
2D Coordinate Geometry: Level 3 Challenges
2D Coordinate Geometry: Level 4 Challenges
2D Coordinate Geometry: Level 5 Challenges

Distance between point and line

If point $(p,0)$ is equidistant from the two lines $9x-y+1=0, x-9y-5=0$ and $p>0$ , what is $p?$

\frac{3}{4}

{4}

\frac{2}{5}

{3}

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by Brilliant Staff

Consider point $A=(a,2)$ with $a > 0$ such that over all points $P$ on the line $\frac{x}{4}+\frac{y}{3}=1,$ the minimum value of $\overline{AP}$ is $2.$ What is the value of $3a?$

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by Brilliant Staff

Given a point $P$ on the positive $x$ -axis such that the distance between $P$ and the line $4x+3y+6=0$ is $10,$ what are the coordinates of $P ?$

({12},0)

({11},0)

({13},0)

({14},0)

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by Brilliant Staff

If real numbers $\ a\$ and $\ b\$ satisfy $a^2 + b^2 = 49$ , what is the distance between the lines $ax + by = 1\;\;\; \textrm{and} \;\;\; ax + by = 225 ?$

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by Brilliant Staff

If point $(p,0)$ is equidistant from the two lines $12x-y+1=0, x-12y-4=0$ and $p>0$ , what is $p?$

{11}

{5}

\frac{5}{11}

\frac{3}{13}

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by Brilliant Staff

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