Question

If a2, b2 c2 are in A.P. then
(a) b2+ c, c2+ a2, a2 + b2 will also be in
A.P
(b) c2 +a2, b2 + c2, a2 + b2 will also be in
A.P.
(c) b2 - c2, c2 - a2, a2 - b2 will also be in
A.P

Answer 1

Answer:

b

Step-by-step explanation:

Answer 2

Answer:

2

,b

2

,c

2

are in A.P

⇒b

2

−a

2

=c

2

−b

2

⇒(b−a)(b+a)=(c−b)(c+b)

⇒

(c+b)

(b−a)

=

(b+a)

(c−b)

⇒

(c+b)(c+a)

(b−a)

=

(b+a)(c+a)

(c−b)

⇒

(c+b)(c+a)

(b+c−c−a)

=

(b+a)(c+a)

(c+a−a−b)

⇒

c+a

1

−

b+c

1

=

a+b

1

−

c+a

1

b+c

1

,

c+a

1

,

a+b

1

are in A.P

b+c

a+b+c

,

c+a

a+b+c

,

a+b

a+b+c

are in A.P

b+c

a

+1,

c+a

b

+1,

a+b

c

+1 are in A.P

b+c

a

,

c+a

b

,

a+b

c

are in A.P