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Q.
The maximum number of points of intersection of a straight line, circle, parabola, ellipse and hyperbola is
Permutations and Combinations
Solution:
A straight line and a circle can intersect at maximum of $2$ points.
A parabola can intersect a line and a circle at a maximum of $2+4$ points.
An ellipse can intersect the above three at a maximum of $2+4+4$ points.
A hyperbola can intersect the above four at a maximum of $2+4+4+4$ points.
$\Rightarrow $ Maximum number of points of intersection
$=2+6+10+14 $
$=32$