In the given figure. line AB meets y-axis at point A. Line through C(2,10) and D intersects line AB at right angle at poiunt R find
(1) equation of line AB
(2) equation of line CD
(3) Co-ordinates of point E and D
(1) `"Slope of line AB "=m=(8-6)/(-6-0)=2/-6=-1/3`
The y-interoept of the line Ab is 6.
Thus , the equation of th given line is given by the slope -intercept from` y=mx+c`
i.e.` x+3y=18,` Which is the required equation.
(2) Since Ab and CD intersect at right angles,
`⇒ -1/3xx "slope"_(CD)=-1`
U sing the slope-point from, the equation of CD is given by
i.e. `3x-y+4=0` Which is the required equation of line CD.
(3) Since point E satisfies the equation Of AB, and the y-coordinate of E is 0, We can find the x-Coodinate of E.
So, the coordinates of E are (18,0).
Now, since point D satisfies the equation Of CD, and the y-coordinate of D is 0, We can find the x-coordinate Of D.
So, the coordinates of D are `(-4/3,0)`