Perpendicular Distance (Leaving Cert Mathematics): Quizzes

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Perpendicular Distance from a Point to a Line
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What is the shortest distance from a point to a line?

Perpendicular to the line

Perpendicular distance from point to line formula?

ax1+by1+ca2+b2\frac{|ax_1 + by_1 + c|}{\sqrt{a^2 + b^2}}

When is the perpendicular distance dd zero?

Point is on the line

How to check if a point P lies on a line?

Use the formula: d=0d=0

What does the absolute value ensure?

Distance remains positive

What is the main goal of the perpendicular distance?

Find shortest path

What is the primary application of the formula?

Distance from point to line

What is perpendicular distance from point P to a line?

Shortest distance from P to the line

Find perpendicular distance from P(3,2)P(3,-2) to 4x3y+5=04x-3y+5=0

235\frac{23}{5}

Perpendicular distance from P(1,1)P(1,1) to 2xy1=02x - y - 1 = 0 is:

00

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