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Question

The length of minor axis (along y-axis) of an ellipse of the standard form is 43. If this ellipse touches the line x+6y=8, then its eccentricity is: 


A
1253
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B
12113
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C
56
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D
13113
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Solution

The correct option is C 12113
If 2b=43
b=23
Comparing y=x6+86 with y=mx±a2m2+b2
m=16 and a2m2+b2=169
a236+43=169
a236=16943 
 a2=16
e=1b2a2
 e=1112

Mathematics

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