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Byju's Answer
Standard X
Mathematics
Locus of the Points Equidistant From a Given Point
Find the equa...
Question
Find the equation of the locus of
P
, if
A
=
(
4
,
0
)
,
B
=
(
−
4
,
0
)
and
|
P
A
−
P
B
|
=
4
.
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Solution
Given,
A
=
(
4
,
0
)
≡
(
x
1
,
y
1
)
,
B
=
(
−
4
,
0
)
≡
(
x
2
,
y
2
)
⇒
|
P
A
−
P
B
|
=
4
Distance Formula
=
√
(
x
−
x
1
)
2
+
(
y
−
y
1
)
2
⇒
√
(
x
−
4
)
2
+
(
y
−
0
)
2
−
√
(
x
+
4
)
2
+
(
y
−
0
)
2
=
4
⇒
(
x
−
4
)
2
+
y
2
=
16
+
(
x
+
4
)
2
+
y
⇒
4
x
2
+
4
+
8
x
=
x
2
+
16
+
8
x
+
y
2
⇒
3
x
2
−
y
2
=
12
⇒
x
2
4
−
y
2
12
=
1
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6
Similar questions
Q.
The equation of locus of
P
, if
A
=
(
4
,
0
)
,
B
(
−
4
,
0
)
and
|
P
A
+
P
B
|
=
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Q.
Find the equation of locus of 'P'
A
=
(
4
,
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(
−
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0
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and
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A
−
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Q.
A(4,0), B(-4,0) are two points. The locus of P which moves such that |PA-PB| =6 is
Q.
A
(
4
,
0
)
and
B
(
−
4
,
0
)
are two given points.
A
variable point
P
is such that
P
A
+
P
B
=
10
.
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is
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+
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=
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Q.
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(
4
,
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