Question

What are the lines passing through the point (1,1)?

• A. $x=y$
• B. $x+3y=4$
• C. $x+4y=9$
• D. $4x-2y=2$

Answer 1

Answer: (A), (B), (D)

The correct options are
A $x=y$
B $x+3y=4$
D $4x-2y=2$

We know that,
if a point lies on the line then, the point satisfies the given condition of the line.

Now,
putting (1,1) in $x=y$,
$\Rightarrow$1 = 1
S0, point lies on the line.

putting (1,1) in $x+3y=4$,
$\Rightarrow$4 = 4
S0, point lies on the line.

putting (1,1) in $x+4y=9$,
5 is not equal to 9.
So, point doesn't lie on the line.

putting (1,1) in $4x-2y=2$,
$\Rightarrow$2 = 2
So, point lies on the line.