1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
First Fundamental Theorem of Calculus
If x/y + y/x ...
Question
If x/y + y/x = -1 where x ≠ 0 and y ≠ 0 then find the value of x
3
– y
3
Open in App
Solution
Dear Student,
x
y
+
y
x
=
-
1
x
2
+
y
2
xy
=
-
1
x
2
+
y
2
=
-
xy
x
2
+
y
2
+
xy
=
0
Now
,
x
3
-
y
3
=
x
-
y
x
2
+
xy
+
y
2
=
x
-
y
0
=
0
ANS
.
.
.
Regards
Suggest Corrections
2
Similar questions
Q.
If
x
y
+
y
x
=
−
1
,
(
x
,
y
≠
0
)
, then value of
x
3
−
y
3
is:
Q.
If
x
y
+
y
x
=
−
1
(
x
,
y
≠
0
)
, then find the value of
x
3
−
y
3
.
Q.
If
x
y
+
y
x
=
−
1
(
x
,
y
≠
0
)
, then the value of
x
3
−
y
3
is
Q.
If
x
y
+
y
x
=
−
1
, where
x
,
y
≠
0
then the value of
(
x
3
−
y
3
)
is
(a)
1
(b)
−
1
(c)
0
(d)
1
2
Q.
Question 19
If
x
y
+
y
x
=
−
1
(where
x
,
y
≠
0
),then the value
x
3
−
y
3
is
A) 1
B) -1
C) 0
D)
1
2
View More
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
Fundamental Theorem of Calculus
MATHEMATICS
Watch in App
Explore more
First Fundamental Theorem of Calculus
Standard XII 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