Question

The equation of the line through (1,2),
which makes equal intercepts on the axes,
is
(A) x+y=1
(C) x+y=4
(B) x+y=2
(D) x+y=5​

Answer 1

Answer:

first 0 + 1 is equal to 12 + 2 is equal to 4 1 + 1 is equal to 2 2 + 3 is equal to 5

Answer 2

All options are incorrect. The correct equation is x+y=3.

Step-by-step explanation:

We need to find the equation of the line through (1,2), which makes equal intercepts on the axes.

A line makes equal intercepts on the axes if it is in the form of $ax+ay=c$. It means the coefficient of x and y are same.

Check all the given equation by point (1,2).

First equation is

$x+y=1$

Substitute x=1 and y=2 in the above equation.

$1+2=3\neq 1$

It means equation (1) is incorrect.

Similarly,

$1+2=3\neq 4$

$1+2=3\neq 2$

$1+2=3\neq 5$

It means equations (2), (3) and (4) are incorrect.

The equation $x+y=3$ satisfy by the point (1,2) and makes equal intercepts on the axes.

Therefore, all options are incorrect. The correct equation is x+y=3.

#Learn more

Find the equation of line with x intercept 3 and y intercept -5.

https://brainly.in/question/2362804