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1.
The normal chord of a parabola 
at 
subtends a right angle at the
at subtends a right angle at the
2.
The equation of the circle which has a tangent 
at 
on it and with the centre on 
is
at on it and with the centre on is
3.
The equation of the tangent to the parabola 
which goes through the point 
, is
which goes through the point , is
4.
The length of the chord of the circle 
along the 
-axis, is
along the -axis, is
5.
What is the slope of the tangent drawn to the hyperbola 
at the point 
at the point
6.
The equation 
represents a rectangular hyperbola if
represents a rectangular hyperbola if
7.
The line passing through the extremity 
of the major axis and extremity 
of the minor axis of the ellipse 
meets its auxiliary circle at the point 
. Then, the area of the triangle with vertices at 
and the origin 
is
of the major axis and extremity of the minor axis of the ellipse meets its auxiliary circle at the point . Then, the area of the triangle with vertices at and the origin is
8.
From the point 
two tangents are drawn to the parabola 
. Then, the angle between the two tangents is
two tangents are drawn to the parabola . Then, the angle between the two tangents is
9.
The centre of the ellipse 
is
is
10.
The circle whose equation are 
and 
will touch one another externally if
and will touch one another externally if