Question

If a,c,b are in GP,then the line ax+by+c=0
a)has a fixed direction
b)always passes through a fixed point
c)forms a triangle with the axes whose area is constant
d)always cuts intercepts on the axes such that their sum=0

Answer 1

geometric progression

Answer 2

good question :P @skullpatrol

Answer 3

lol

Answer 4

b=ar
c=ar^2

=> x + ry + r^2 =0
x/(-r^2) + y/(-r) = 1
so ? constant area ?

Answer 5

right

Answer 6

but what did u do O.o

Answer 7

do it like this :

x intercept is -c/a
y intercept is -c/b

area = 1/2 (c^2 /ab)

and they are in GP,,and hence your answer..

Answer 8

a,c,b hai,,a,b,c, nahi..sorry,,a,c,b lene se intercept wale method se bhi aa jayega..
maine waha constant isliye bol diya tha kyunki socha kisi r ke liye constant hoga! :P