1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard X
Mathematics
Solution of a Linear Equation in Two Variables
Find the equa...
Question
Find the equation of the line passing through
(
3
,
−
2
)
and whose intercepts on the axes are equal in magnitude but opposite in sign.
Open in App
Solution
Let the intercepts be
a
and
−
a
Equation of the line is
x
a
+
y
b
=
1
⇒
x
a
+
y
−
a
=
1
⇒
x
−
y
=
a
The line passes through
(
3
,
−
2
)
∴
3
−
(
−
2
)
=
a
⇒
a
=
3
+
2
=
5
Required equation of the line is
x
−
y
=
5
or
x
−
y
−
5
=
0
Suggest Corrections
0
Similar questions
Q.
Find the equation of the straight line passing through the point
(
5
,
−
3
)
and where intercepts on the axes are equal in magnitude but opposite in sign.
Q.
Find the equation of line passing through
(
2
,
5
)
and making intercepts equal in the magnitude but opposite in sign on both the axes.
Q.
The equation of the line cutting off intercepts on the axes of coordinates equal in magnitude but opposite in sign and passing through the point
(
2
,
3
)
Q.
The equation of a straight line passing through
(
−
3
,
2
)
and cutting an intercept equal in magnitude but opposite in sign from the axes is given by
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Basics Revisted
MATHEMATICS
Watch in App
Explore more
Solution of a Linear Equation in Two Variables
Standard X Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app