Byju's Answer
Standard XII
Mathematics
Distance Formula
If the line y...
Question
If the line
y
−
√
3
x
+
3
=
0
cuts the parabola
y
2
=
x
+
2
at A and B, then PA. PB is equal to (where
P
≡
(
√
3
,
0
)
A
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B
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C
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D
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Solution
The correct option is
A
y
−
√
3
x
+
3
=
0
can be rewritten as
y
−
0
√
3
2
=
x
−
√
3
1
2
=
r
(
1
)
Solving (1) with the parabola
y
2
=
x
+
2
3
r
2
4
−
r
2
−
√
3
−
2
=
0
⇒
P
A
P
B
=
r
1
r
2
=
4
(
√
3
+
2
)
3
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0
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Q.
If the line
y
−
√
3
x
+
3
=
0
cuts the parabola
y
2
=
x
+
2
at A and B, then
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B
is equal to [where
P
≡
(
√
3
,
0
)
]
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−
√
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x
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