Find the coordinates of the points on the parabola $y^2=8x$ whose focal distance is 10.

Find the coordinates of the points on the parabola y²=8x whose focal distance is 10.

Question 1 of 6

y^2=8x

Yanam BieapBIEAP Intermediate Board 2024Subjective· 2mImportance★★★★★

17% · 1/6 Questions

You're viewing a preview — the full solution, concept, methods & PYQ mapping are locked.

The focal distance of a point on $y^2=4ax$ is $x+a$ ; solve $x+a=10$ then find $y$ .

For $y^2=8x$ , compare with $y^2=4ax$ : $4a=8 \Rightarrow a=2$ .

The focal distance of a point $(x,y)$ on the parabola is $x+a$ . Given focal distance $=10$ : …