Question

find among all possible straight lines through point(1,2), a line that forms a triangle of minimum area with the positive parts of the cartesian axes

Answer 1

i want minimum area

Answer 2

what class is this for?

Answer 3

caclulus, application of maxima , minima

Answer 4

zarkon guide plz

Answer 5

where are you stuck?

Answer 6

like i cant understand the whole question

Answer 7

can you give me a general equation of a line that passes through the point (1,2)?

Answer 8

y-2=m(x-1)

Answer 9

write is as y=m(x-1)+2


what the the x and y intercepts

Answer 10

in terms of m

Answer 11

y intercept 2-m

Answer 12

ok

Answer 13

i guess we have to find line with least gradient ,m i rite ?

Answer 14

you need to minimize \[A=\frac{1}{2}base\times height\]

Answer 15

the length of the base is the x intercept and the height of the triangle is the y-intercept

Answer 16

ok

Answer 17

w8 how base is x intercept and height y intercept

Answer 18

ohhh yes now i understood, bt wut is next step

Answer 19

you need the x-intercept

Answer 20

ok, we can do that by putting y=0 , the line equation