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Mathematics
Mathematics
Problem
Consider the hyperbolas
C
1
:
x
2
25
−
y
2
9
=
1
C_1:\,\dfrac{x^2}{25}-\dfrac{y^2}{9}=1
C
1
:
25
x
2
−
9
y
2
=
1
and
C
2
:
x
2
9
−
y
2
4
=
1
C_2:\,\dfrac{x^2}{9}-\dfrac{y^2}{4}=1
C
2
:
9
x
2
−
4
y
2
=
1
. a. (i) Calculate the eccentricity of
C
1
C_1
C
1
. b. (ii) Calculate the eccentricity of
C
2
C_2
C
2
. c. (iii) Which of the two hyperbolas is more open?
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