Question

The point F has the co-ordinates $(0,-8)$. IF the distance EF is $10$ units, then the co-ordinates of E will be

• A. $(-6,0)$
• B. $(6,0)$
• C. $(6,8)$
• D. Either $1$ or $2$

Answer 1

The correct option is D Either $1$ or $2$

Let the point E $=(x,y)$
Distance
between two points $(x_1,y_1)$ and $(x_2,y_2)$ can be calculated using the formula $\sqrt{{(x_2-x_1)}^2+{(y_2-y_1)}^2}$
Given, Distance
between the points $(x,y)$ and $(0,-8)=10$
$=>\sqrt{{(0-x)}^2+{(-8-y)}^2}=10$
$=>x^2+64+y^2+16y=100$
$=>x^2+y^2+16y=36$ --- (1)
From the given points, both $(-6,0)$ and $(6,0)$ satisfy the equation 1.
Hence D is the correct option.