Question

The length of the transverse axis is 6,and the length of the red line segment is 15,.how long is the blue line segment?

A.21
B.9
C.6
D.15

Answer 1

9

Explanation:

Answer 2

The length of blue segment is:

9

Explanation:

We know that the:

Length of transverse axis i.e. '2a' is equal to 6.

i.e. 2a=6.

Also the distance of a point from one focus is 15.

and let the length of the blue segment be 'b'.

" As we know that the absolute value of the difference of distance of a point from the two focus is equal to the length of a transverse axis "

Hence,

`|15-x|=6`

Hence, we have:

`15-x=6\\\\15-6=x\\\\\\x=9`

Hence, the length of the blue segment is:

9