1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard VII
Mathematics
Negatives and Reciprocals
1a,1b,1c are ...
Question
1
a
,
1
b
,
1
c
are in
H
.
P
,
then the following are also in A.P.
b
+
c
,
c
+
a
,
a
+
b
If it is true, then answer will be 1 otherwise 0.
Open in App
Solution
We have,
1
a
,
1
b
,
1
c
are in
H
.
P
a
,
b
,
c
are in
A
.
P
So,
2
b
=
a
+
c
.
.
.
.
.
.
.
.
.
.
.
.
(
1
)
2
b
+
c
+
a
=
2
a
+
2
c
b
+
b
+
c
+
a
=
c
+
a
+
c
+
a
b
+
c
+
a
+
b
=
2
(
c
+
a
)
2
(
c
+
a
)
=
b
+
c
+
a
+
b
So,
b
+
c
,
c
+
a
,
a
+
b
are in
A
.
P
Hence, this is the answer.
Suggest Corrections
0
Similar questions
Q.
If
a
2
,
b
2
,
c
2
are in A.P. then the following are also in A.P. True or False? If true write 1 otherwise write 0
1
b
+
c
,
1
c
+
a
,
1
a
+
b
.
Q.
If
1
a
(
b
+
c
)
,
1
b
(
c
+
a
)
,
1
c
(
a
+
b
)
be in H.P., then a,b,c are also in H.P.
Q.
If
a
+
b
1
−
a
b
,
b
,
b
+
c
1
−
b
c
be in A.P., then prove that
a
,
b
−
1
, c are in H.P.
Q.
If a, b, c are in A.P., then the following are also in A.P.
a
(
1
b
+
1
c
)
,
b
(
1
c
+
1
a
)
,
c
(
1
a
+
1
b
)
.
Q.
If
b
+
c
−
a
a
,
c
+
a
−
b
b
,
a
+
b
−
c
c
are in A.P., then
1
a
,
1
b
,
1
c
are also in A.P.
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
Negatives and Reciprocals
MATHEMATICS
Watch in App
Explore more
Negatives and Reciprocals
Standard VII 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
Solve
Textbooks
Question Papers
Install app