EM-1768

Length of a line segment

E Math · Secondary 4 · Hard · Length of a line segment

A quadratic curve cuts the

x

-axis at

A(-5,0)

and

B(k,0)

. It cuts the

y

-axis at

C(0,c)

. The distance of

B

from the origin is one-fifth of the distance of

C

from the origin. Given that the distance

AC

is 13 units, find the coordinates of

C

Loading problem…