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Let the eccentricity of an ellipse , b a , 1 b y a x 2 2 2 2 > = + be . 4 1 If this ellipse passes through the point , 3 , 5 2 4 ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ − then a 2 + b 2 is equal to :

1. 29
2. 31
3. 32
4. 34 CAREER POINT CAREER POINT Ltd., CP Tower, IPIA, Road No.1, Kota (Raj.), Ph: 080-47250011 www.careerpoint.ac.in 31 JEE Main Online Paper

Correct answer: 31

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