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Question

Mathematics Question on Conic sections

Suppose a and b are lengths of major and minor axes of an ellipse that passes through the points (4,3) and (-1,4). If the major axis of the ellipse lies along the x-axis , then the value of 1a2+16b2\frac{1}{a^2}+\frac{16}{b^2} is

A

4

B

14\frac{1}{4}

C

2

D

12\frac{1}{2}

E

1

Answer

14\frac{1}{4}

Explanation

Solution

The correct option is (B): 14\frac{1}{4}