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Byju's Answer
Standard XII
Mathematics
General Equation of Parabola
Equation of t...
Question
Equation of the parabola having its focus at
S
(
2
,
0
)
and one extremity of its latus rectum as
(
2
,
2
)
can be?
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Solution
Clearly the other extremity of latus rectum is
(
2
,
−
2
)
. It's axis is
x
−
axis. Corresponding value of a
=
2
−
0
2
=
1
Hence it's vertex is
(
1
,
0
)
or
(
3
,
0
)
Thus it's equation is
y
2
=
4
(
x
−
1
)
or
y
2
=
−
4
(
x
−
3
)
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Q.
Equation of parabola having its focus at
S
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and one extremes of its latus rectum as
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