Find the length of the perpendicular from the point (2, 3) to the line
3x + 4y = 5.
Answers
Answered by
87
Topic :-
Straight Line
Given :-
A perpendicular is drawn from the point (2, 3) to the line 3x + 4y = 5.
To Find :-
Length of the perpendicular drawn.
Concept Used :-
Length of perpendicular from a point (h, k) on the line ax + by + c = 0 is given by :-
Solution :-
It is given that, a perpendicular is drawn from the point (2, 3) to the line 3x + 4y = 5.
h = 2
k = 3
We can write equation of line as :-
3x + 4y - 5 = 0
On comparing it with ax + by + c = 0, we can say,
a = 3
b = 4
c = -5
Applying formula,
Substituting values,
Answer :-
So, the length of perpendicular from the point (2, 3) to the line 3x + 4y = 5 is 2.60 units.
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Asterinn:
Perfect!
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