Question

Prove that the feet of the perpendiculars from the origin on the lines x+y=4;x+5y=26and15x-27y=424 are collinear

Answer 1

Answer:

no it is not collinear

Step-by-step explanation:

x+y=4

x=4-y. (1)

x+5y=26

4-y+5y=26

4y=22

y=11/2

x=4-11/2

x=8-11/2

x=-3/2

now

15x-27y=424

15(-3/2)-27(11/2)=424

-45/2-297/2=424

-45-297=424×2

325=848

no this not collinear