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NIMCET 2023 Question Paper with solutions
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© examsnet.com
Question : 2
Total: 120
A
point
P
in the first quadrant, lies on
y
2
=
4
a
x
,
a
>
0
and keeps a distance of
5
a
units from its focus. Which of the following point lies on the locus of
P
?
(
0
,
1
)
(
1
,
1
)
(
2
,
0
)
(
1
,
0
)
Validate
Solution:
a
+
a
t
2
=
5
a
1
+
t
2
=
5
t
2
=
4
t
=
±
2
t
>
0
⇒
t
=
2
Hence,
P
≡
(
4
a
,
4
a
)
From given options only
(
1
,
1
)
satisfy
P
.
© examsnet.com
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