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Standard X
Mathematics
Reflection in the Origin
3. If vertex ...
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3. If vertex of a parabola passes through (a,b) x axis is tangent to the parabola at origin.find the probable equation of axis of symmetry from the given equation
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Q.
Find the equation of a parabola with vertex at the origin, the axis along X-axis and passing through
(
2
,
3
)
.
Q.
For a parabola, if
L
1
:
x
=
y
+
1
is the axis of symmetry,
L
2
:
x
+
y
=
5
is tangent at vertex and
L
3
:
y
=
4
is a tangent at a point
P
,
then the equation of circumcircle of the triangle formed by the tangent and normal at point
P
and axis of parabola is
Q.
If a parabola passing through point
(
−
4
,
−
2
)
has its vertex at the origin and
y
−
axis as its axis of symmetry, then the length of the latus rectum of the parabola is
Q.
Find the equation of parabola if vertex
(
0
,
0
)
passing through
(
2
,
3
)
and axis is along
x
−
a
x
i
s
.
Q.
The equation of the parabola with vertex at origin, which passes through the point
(
−
3
,
7
)
and axis along the
x
−
axis is
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