Question

find the equations of the two straight lines drawn through the point (0,1) on which the perpendiculars dropped from the point (2,2) are each of unit lenght

Answer 1

Answer:

Step-by-step explanation:

Slopes of perpendicular lines are opposite reciprocals.

$m_{1}$ = ($y_{2}$ - $y_{1}$) / ($x_{2}$ - $x_{1}$) = $\frac{1}{2}$

$m_{2}$ = - 2

Perpendicular is dropped from the point (2, 2) and passing point (0, 1)

y - 2 = $\frac{1}{2}$ (x - 2) ===> y = $\frac{1}{2}$ x + 1 ....... (1)

Equation of the line perpendicular to (1) and passing through (0, 1) is

y - 1 = - 2(x - 0) ===> y = - 2x + 1

Answer 2

Step-by-step explanation:

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