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Question
The distance between the focus and directrix of the conic (√3x−y2)=48(x+√3y) is
The distance between the focus and directrix of the conic (√3x−y2)=48(x+√3y) is
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Solution
The correct option is C 24
⟹y2−2(−24√3)y+(−24√3)2=(√3−48)x+(−24√3)2Constant term does not change length of focus and directrix
⟹(y+24√3)2=−4(12−√34)xDistance =2(12−√34)≈23.14
⟹y2−2(−24√3)y+(−24√3)2=(√3−48)x+(−24√3)2
Constant term does not change length of focus and directrix
⟹(y+24√3)2=−4(12−√34)x
Distance =2(12−√34)≈23.14
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