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Question

If all chords of curve 3x2y22x+4y=0, which subtend a right angle at the origin, pass through a fixed point. Then the coordinates of the point.

A
(13,2)
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B
(1,2)
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C
(2,1)
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D
(2,2)
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Solution

The correct option is A (13,2)
3x2y22x+4y=0
3x22xy2+4y=0
x223x+191913(y24y+4)+43=0
(x13)213(y2)2=1943
(x13)2(y2)623=119
(x13)2119(y2)2113=1
The required point is (13,2)
Hence, the answer is (13,2).

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