Army Group X Practice Set 2

Let the line cuts a and b intercepts on the axes, then equation of line is
‌

x

a

+‌

y

b

=1 .......(i)
According to the question,
a+b=−1⇒b=−(1+a)
On putting the value of b in Eq. (i), we get
‌

x

a

−‌

y

1+a

=1
This straight line passing through (4,3) .
∴‌

4

a

−‌

3

1+a

=1
⇒‌

4+4a−3a

a(1+a)

=1
⇒4+a=a+a2⇒a2=4⇒a=2
∴b=−3
Hence, equation of line
‌

x

2

−‌

y

3

=1