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An equation of a line and the coordinates of a point?
how can i find the perpendicular distance of the point from the given line...?? lets suuppose that the given point is (-a,-a) and the given equation of line is 3x-4y+8=0.... plz give the steps...
2 Answers
- 1 decade agoFavorite Answer
first satisfy the given equation within the mod..... then divide by the square root of the sum of the squares of coefficients of x and y
[] : mod
d : perpendicular distance
then
d = [ Ax + By + C ] / ( A^2 + B^2 )^1/2
for this question ,
x = -a , y= -a A = 3 , B = -4 , C = 8
therefore substitute the values
d = [ 3 (-a ) + (-4)(-a) + 8 ] / ( 3^2 + ( -4 )^2 )^1/2
d= [ -3a + 4a + 8 ] / 5
d= [a + 8 ] / 5
it is the answer ....... substitute the x if the answer ( a +8 ) is less than 0 then put it as positive because [ - k ] = k
hope this helps..........
- RameshwarLv 71 decade ago
perpendicular distance of Point (a,b) from the line lx + my + c =0 is given by the formula ;;;
L = (al +bm +c ) /root( l^2 +m^2) therefore in the give equation
L = ( --3 a---4a +8) / root (3^2 +4^2) or length = (--7a +8)/5 ans