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Byju's Answer
Standard XII
Mathematics
Global Maxima
Condition for...
Question
Condition for which the slope of a line represented by
a
x
2
+
2
h
x
y
+
b
y
2
=
0
is square of the other is ,
A
a
b
(
a
+
b
−
6
h
)
+
8
h
3
=
0
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B
a
b
(
a
+
b
−
6
h
)
=
8
h
3
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C
a
b
(
a
+
b
+
6
h
)
+
8
h
3
=
0
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D
None of thses
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Solution
The correct option is
A
a
b
(
a
+
b
−
6
h
)
+
8
h
3
=
0
According to question.......
a
x
2
+
2
h
x
y
+
b
y
2
=
0
i
f
w
e
h
a
v
e
t
w
o
l
i
n
e
y
=
m
1
x
&
y
=
m
2
x
a
n
d
t
h
i
s
i
s
t
h
e
s
q
u
a
r
e
o
f
t
h
e
o
t
h
e
r
,
m
2
=
m
1
2
t
h
e
n
,
y
=
m
1
x
&
y
=
m
1
2
x
(
w
e
h
a
v
e
t
w
o
s
t
r
a
i
g
h
t
l
i
n
e
e
q
u
n
k
n
o
w
,
(
y
−
m
1
x
)
(
y
−
m
1
2
x
)
=
0
⇒
y
2
−
x
(
m
1
+
m
1
2
)
+
m
1
3
x
2
=
0
N
o
w
,
c
o
m
p
a
r
e
:
m
1
+
m
1
2
=
−
2
h
b
,
&
m
1
3
=
a
b
⇒
(
m
1
+
m
1
2
)
3
=
−
8
h
3
b
3
⇒
m
1
3
+
m
1
6
+
3
m
3
1
(
m
1
+
m
1
2
)
=
−
8
h
3
b
3
⇒
a
b
+
a
2
b
2
+
3
(
a
b
)
.
(
−
2
h
b
)
=
−
8
h
3
b
3
⇒
a
b
+
a
2
b
2
+
8
h
3
b
3
=
6
a
h
b
2
⇒
a
b
[
1
+
a
b
]
+
8
h
3
b
3
=
6
a
h
b
2
⇒
a
(
a
+
b
)
b
2
+
8
h
3
b
3
=
6
a
h
b
2
⇒
a
(
a
+
b
)
a
h
+
8
h
3
b
a
h
=
6
⇒
a
+
b
h
+
8
h
2
a
b
=
6
⇒
a
b
(
a
+
b
)
+
8
h
3
h
(
a
b
)
=
6
⇒
a
b
(
a
+
b
)
+
8
h
3
=
6
h
(
a
b
)
∴
a
b
(
a
+
b
−
6
h
)
−
8
h
3
=
0
S
o
,
t
h
a
t
t
h
e
c
o
r
r
e
c
t
o
p
t
i
o
n
i
s
A
.
Suggest Corrections
0
Similar questions
Q.
If the slope of one of the lines represented by
a
x
2
+
2
h
x
y
+
b
y
2
=
0
is square of the other then
a
b
(
a
+
b
)
+
8
h
3
Q.
The condition that the slope of a line represented by
a
x
2
+
2
h
x
y
+
b
y
2
=
0
is square of the other is
Q.
The condition that the slope of one of the lines represented by
a
x
2
+
2
h
x
y
+
b
y
2
=
0
is twice that of the other is
Q.
If the slope of one of the lines represented by
a
x
2
+
2
h
x
y
+
b
y
2
=
0
be the square of the other,
then prove that
a
+
b
h
+
8
h
2
a
b
=
6
.
Q.
If the slope of one of the lines represented by the equation
a
x
2
+
2
h
x
y
+
b
y
2
=
0
be square of the other, then the value of
a
+
b
h
+
8
h
2
a
b
is
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