KCET2017MathematicsMathematical Reasoning
The eccentricity of the ellipse ( x² 36 + y² 16 =1 ) is
Options
- A( 2 5 6 )
- B( 2 5 4 )
- C( 2 13 6 )
- D( 2 13 4 )
Correct answer
A. ( 2 5 6 )
Step-by-step solution
Given equation of ellipse, [ x² 36 + y² 16 =1 ] We know that eccentricity is given by, [ e= a²-b² a² ] [ array l Here a²=36 and b²=16 So, e= 36-16 36 = 2 5 6 array ]