Question

The equation to a line is 3x + 4y = 12.
(a) Find the length of perpendicular drawn
from origin to this line.​

Answer 1

Answer:

3x+4y=12

x=0, x = 1

. 3X0+4y=12 ,0+4y =12 ,y = 3 .......(i)

3X1+4y = 12 , 3+4y= 12 ,4y= 12--3 ,. y= 9/4 ,

y=9/4. = 2.25 ......(ii)

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Step-by-step explanation:

by Pythagoras theorem

AB - 3cm , BC - 4cm , AC - ?

AC^2= AB ^2+ BC ^2

AC^2 = 3^2+4^2

AC^2 = 9+16

AC^2=25

AC=√25

AC = 5

. hence , 5 cm length of perpendicular draw from origin to this line.....