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
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Answer:
The length of blue segment is:
9
Step-by-step 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,
[tex]|15-x|=6[/tex]
Hence, we have:
[tex]15-x=6\\\\15-6=x\\\\\\x=9[/tex]
Hence, the length of the blue segment is:
9