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1.
The value of 
, for which the line 
becomes a tangent to the conic 
are
, for which the line becomes a tangent to the conic are
2.
If the tangent at the point 
on the circle 
meets the straight line. 
at a point 
on the 
-axis, then the length of 
is
on the circle meets the straight line. at a point on the -axis, then the length of is
3.
Consider a family of circles, which are passing through the point 
and are tangent to 
-axis. If 
are the coordinates of the centre of the circles, then the set of values of 
is given by the interval
and are tangent to -axis. If are the coordinates of the centre of the circles, then the set of values of is given by the interval
4.
The equation of the circle passing through the point (1, 1) and through the points of intersection of the circles 
amnd 
is
amnd is
5.
The number of distinct normal that can be drawn from 
to the parabola 
is
to the parabola is