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DLS
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Let (2,1) be a point on line 3x+4y=2.Find the point at distance of 5 units on the line from the given point?
 one year ago
 one year ago
DLS Group Title
Let (2,1) be a point on line 3x+4y=2.Find the point at distance of 5 units on the line from the given point?
 one year ago
 one year ago

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hartnn Group TitleBest ResponseYou've already chosen the best response.1
\(\large{distance}(ax+by+c=0, (x_0, y_0)) = \frac{ax_0+by_0+c}{\sqrt{a^2+b^2}}\)
 one year ago

DLS Group TitleBest ResponseYou've already chosen the best response.2
How can we solve this using parametric form?
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
i didn't get your question actually, (2,1) does NOT lie on that line. can u draw a figure or something ?
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
Distance between points (x1,y1) and (x2,y2) is \(\huge d=\sqrt{(x_1x_2)^2+(y_1y_2)^2}\)
 one year ago

DLS Group TitleBest ResponseYou've already chosen the best response.2
\[\frac{xx1}{\cos \Theta} = \frac{yy1}{\sin \Theta} = r\]
 one year ago

DLS Group TitleBest ResponseYou've already chosen the best response.2
r is the distance
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
but,(2,1) does NOT lie on that line.
 one year ago

DLS Group TitleBest ResponseYou've already chosen the best response.2
oh sorry its 2,1
 one year ago

DLS Group TitleBest ResponseYou've already chosen the best response.2
3x+4y+66=2 3(x2)=4(y+1) \[\frac{x2}{4/5}\frac{y+1}{3/5}=r=+5 or 5\]
 one year ago

DLS Group TitleBest ResponseYou've already chosen the best response.2
why did we divide by sqrt of a^2+b^2 that is 5? They say by doing that we get sin Theta and cos Theta
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
so that the two numbers(4/5 and 3/5) here satisfy, a^2+b^2=1 which is the property of sin and cos
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
so we can take one as 4/5 and other as 3/5
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
like here u take cos t =4/5, sin t = 3/5
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
if you did not divide by 5, then 4^2+3^2 does not equal 1 so u cannot take cos t=4, and sin t =3
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
its like normalization....
 one year ago

DLS Group TitleBest ResponseYou've already chosen the best response.2
i know that but why did we divide by sqrt of a^2+b^2 only?
 one year ago

DLS Group TitleBest ResponseYou've already chosen the best response.2
any special logic or anything?
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
for any 2 numbers \(\large(\frac{a}{\sqrt{a^2+b^2}})^2+(\frac{b}{\sqrt{a^2+b^2}})^2=1\) so there is a need to divide by sqrt(....)
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
what else can u divide those numbers by, to get their sum of squares =1 ?
 one year ago

DLS Group TitleBest ResponseYou've already chosen the best response.2
seems legit..thanks :D
 one year ago

hartnn Group TitleBest ResponseYou've already chosen the best response.1
welcome ^_^
 one year ago
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