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the coordinates of a moving point p are 2t2 4 4t 6
Question:
The coordinates of a moving point p are (2t
2
+ 4, 4t + 6). Then its locus will be a
WBJEE
Updated On:
Apr 26, 2024
(A) circle
(B) straight line
(C) parabola
(D) ellipse
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Verified By Collegedunia
The Correct Option is
C
Solution and Explanation
Explanation:
x
=
2
t
2
+
4
,
y
=
4
t
+
6
,
y
=
4
t
+
6
→
t
=
(
y
−
6
4
)
x
=
2
(
y
−
6
4
)
2
+
4
⇒
(
y
−
6
)
2
8
=
x
−
4
(
y
−
6
)
2
=
4
(
2
)
(
x
−
4
)
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