PLEASE SOLVE..
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Answers
Let equation of ellipse
x² / a² + y² / b² = 1 and a> b
In this case major axis is x axis and
Length of major axis = 2a
and
Coordinates of foci = (±ae , 0 )
Now we have to find equation of ellipse i think
ATQ
Length of major axis = 26
2a = 26
a = 13
Coordinates of foci = ( ±5 , 0 )
( ± ae , 0 ) = ( ±5 , 0 )
On comparing we get
ae = 5
Putting a = 13 in it
( 13 ) e = 5
e = 5 /13
Now we have a formula
b² = a² ( 1 - e² )
= a² - a² e²
= ( 13 )² - ( ae )²
= 169 - ( 5 )²
= 169 - 25
= 144
Equation of ellipse
x² / a² + y² / b² = 1
x² / 169 + y² / 144 = 1
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