Question

If the linear equations ax +by+c=0 and Ix + my+n=0 represent the same line
and r=l/a=n/c,write the value of r in terms of m and b.​

Answer 1

Answer:

R = \frac{m}{b}

Step-by-step explanation:

given : ax+by+c=0 ...(1)

lx+my+n=0..(2)

let assume

where k is a  non zero

thus l = ak  and n = ck

now , putting the value of l and n in equation 2

we get

lx+my+n = 0

akx+my+ck =0

now, taking common k we get

...(3)

ac+c = -by

put this in equation in 3

we get

'

since k is a non zero term

then

but ,

so ,

hope this helps you :) :)