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Byju's Answer
Standard XII
Mathematics
Relation between AM,GM,HM for 2 Numbers
If y = a + bx...
Question
If y = a + bx
2
, a, b arbitrary constants, then
(a)
d
2
y
d
x
2
=
2
x
y
(b)
x
d
2
y
d
x
2
=
y
1
(c)
x
d
2
y
d
x
2
-
d
y
d
x
+
y
=
0
(d)
x
d
2
y
d
x
2
=
2
x
y
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Solution
(b)
x
d
2
y
d
x
2
=
y
1
Here,
y
=
a
+
b
x
2
⇒
y
1
=
2
b
x
⇒
y
2
=
2
b
Multiplying
by
x
on
both
sides
we
get
,
x
y
2
=
2
b
x
=
y
1
⇒
x
d
2
y
d
x
2
=
y
1
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0
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Q.
If y = a + bx
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Relation between AM,GM,HM for 2 Numbers
Standard XII Mathematics
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