Question

prove that the foot of the perpendiculars from the origin on the lines x+y=0, 2x+y-6=0 and 15x-27y=424 are collinear



Plz answer the question ​

Answer 1

Answer:

X=6 and Y= -6

2X+ y = 6 -------(1 )

x+y = 0 ------(2)

----------------. --------- eq: ( 2 ) is negative

so,

X = 6

let X= 6 put in eq. 2

X+ Y = 0

6+ Y= 0

Y= -6