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Question

The latus-rectum of the conic 3x2+4y26x+8y5=0 is

A
3
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B
32
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C
23
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D
none of these
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Solution

The correct option is A 3
3x2+4y26x+8y5=0
3(x22x)+4(y2+2y)=5
3(x22x+1)+4(y2+2y+1)=5+3+4
3(x1)2+4(y+1)2=12
(x1)24+(y1)23=1
So, a=2 and b=3
Latus rectum= 2b2a
=2322
=3

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