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Byju's Answer
Standard XII
Mathematics
Centre of Ellipse
34. The lengt...
Question
34. The length of normal (terminated by major axis) at a point of the ellipse x2/a2+y2/b2=1
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Similar questions
Q.
In an ellipse,
x
2
a
2
+
y
2
b
2
=
1
(a < b), length of the major axis is 2a.
Q.
A normal to the hyperbola
x
2
4
−
y
2
1
=
1
has equal intercepts on positive x- and y-axis. If this normal touches the ellipse
x
2
a
2
+
y
2
b
2
=
1
, then
a
2
+
b
2
is equal to
Q.
The ellipse
x
2
a
2
+
y
2
b
2
=
1
passes through the point
(
−
3
,
1
)
and has the eccentricity
√
2
5
. Then the major axis of the ellipse has the length:
Q.
If the length of the major axis of the ellipse
(
x
2
a
2
)
+
(
y
2
b
2
)
=
1
is three times the length of minor axis, its eccentricity is:
Q.
If ‘CF’ is the perpendicular from the centre C of the ellipse
x
2
a
2
+
y
2
b
2
=
1
on the tangent at any point P and G is the point where the normal at P meets the major axis, then CF.PG is
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