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Byju's Answer
Standard XII
Mathematics
Perpendicular Distance of a Point from a Plane
If any point ...
Question
If any point
P
(
x
,
y
)
satisfies the relation represents parabola, then
(
5
x
−
1
)
2
+
(
5
y
−
2
)
2
=
λ
(
3
x
−
4
y
−
1
)
2
A
=1
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B
<1
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C
>1
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D
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Solution
The correct option is
A
=1
Conceptual
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Similar questions
Q.
If the equation
(
5
x
−
1
)
2
+
(
5
y
−
2
)
2
=
(
λ
2
−
2
λ
+
1
)
(
3
x
+
4
y
−
1
)
2
represents an ellipse, then
Q.
If the equation
√
(
x
−
1
)
2
+
(
y
−
2
)
2
=
√
λ
|
x
+
y
+
3
|
represents a parabola, then
Q.
If A satisfies the equation
x
3
-
5
x
2
+
4
x
+
λ
=
0
then A
−1
exists if
(a)
λ
≠
1
(b)
λ
≠
2
(c)
λ
≠
-
1
(d)
λ
≠
0
Q.
If the equation
√
(
x
−
1
)
2
+
(
y
−
2
)
2
=
√
λ
|
x
+
y
+
3
|
represents a parabola, then
Q.
If the equation
λ
x
2
+
4
y
+
y
2
+
λ
x
+
3
y
+
2
=
0
represent a parabola then find
λ
?
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