Question

The no of possible st line passing through (2,3) and forming a triangle with coordinates axis, whose area is 12 sq. Units is

a) 1
b) 2
c) 3
d) 4

Answer 1

Draw it...

Answer 2

What ?

Answer 3

Let it pass through (a,0),(0,b) and (2,3).Frame an equation with these three points that also satisfy
ab/2=12

Answer 4

How beezlebub please explain the whole answer is

Answer 5

the eqaution in intercept form is
x/a + y/b=1
then even
(2,3) fits this equation
so
2/a + 3/b=1
and you have the second equation connecting the area,
which is,
ab/2=12

So now you have 2 eqautions to unknowns.Solve for a and b.

Answer 6

2 equations 2 unknowns*

Answer 7

ok let me solve it

Answer 8

but how will i solve them

Answer 9

Will u please help me

Answer 10

a=24/b
Now put that in the first equation,
2/(24/b)+3/b=1
b/12+3/b=1
Can you solve from here?

Answer 11

ok let me try

Answer 12

b = 6

a = 4

Answer 13

Am i right ??????

Answer 14

or b=4 and a=6. The equation is a quadratic so you should get 2 answers fro b, and likewise two for a

Answer 15

b=4,a=6
or
b=6,a=4

Answer 16

Right

Now what will I have to do ?

Answer 17

so now depending on the values or a and b you plug in, you get 2 equations.So 2 possible straight lines.

Answer 18

beezlebub thanks a lot for help

Will u help me in 1 more question ? Please

Answer 19

Sure!

Answer 20

Go to this link

http://openstudy.com/groups/mathematics/updates/4e3169b50b8ba7b2da40fe0d

Answer 21

Beezlebub are u solving the question ?