Question

Which of the following points lies inside parabola $y^2=4x$?

• A. $(1,1)$
• B. $(-1,1)$
• C. $(0,0)$
• D. $(\frac{1}{4},1)$

Answer 1

The correct option is A $(1,1)$

For a point $(h,k)$ to be inside the parabola $y^2=4x$, $k^2-4h<0$

For the point $(1,1)$, $k^2-4h=1-4=-3<0$.

So, the point $(1,1)$ lies inside the parabola.

Similarly, if we check for other points we'll find that $k^2-4h<0$ is not satisfied for any other point.

So, the answer is option (A).