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Question

Find the equation of the chord of the ellipse 4x2+25y2=100 whose middle point is (1,1).


A

4x + 25y = 29

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B

5x +25y = 30

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C

25x + 4y = 29

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D

25x + 5y = 30

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Solution

The correct option is A

4x + 25y = 29


Equation of chord of the ellipse x2a2+y2b2=1 whose middle point is (x1,y1) is given by T=S1 or

xx1a2+yy1b21=x21a2+y21b21

The given ellipse is 4x2+25y2=100 or

x225+y24=1 and the point is (1,1)

T=S11x25+1y41=125+141

4x+25y=4+25

=29

4x+25y =29


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