Question

A line and parabola lies on the same plane.

(1) Line may never touch the parabola

(2) Line may touch parabola at a single point

(3)Line may touch the parabola at one point and intersect at a different point

(4)Line may cut the parabola at 2 or more points

• A. Line may never touch the parabola
• B. Line may touch parabola at a single point
• C. Line may touch the parabola at one point and intersect at a different point
• D. Line may cut the parabola at 2 or more points

Answer 1

The correct option is D

Line may cut the parabola at 2 or more points

When we have a line and parabola on a plane we can have the following situation

(i) The line and parabola don't $\frac{intersect}{touch}$

(ii) The line can touch the parabola at a point

(iii) Intersect at I point (x axis)

(iv) Intersect at 2 points