Question

The maximum number of points of intersection of a straight line, circle, parabola, ellipse and hyperbola is

• A. 32
• B. 36
• C. 30
• D. 34

Answer 1

Answer: (A)

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
$=2+6+10+14$
$=32$