The latus - rectum of the conic 3x2 + 4y2 – 6x + 8y – 5 = 0 is
Given conic is 3x2 + 4y2 - 6x + 8y - 5 = 0. It is re written as
⇒ 3x2 + 4y2 - 6x + 8y - 5 = 0
⇒ 3(x2 - 2x + 1) + 4(y2 + 2y + 1) = 12
⇒ 3(x - 1)2 + 4(y + 1)2 = 12
⇒ 
⇒ 
Comparing with 
(a2>b2), The length of the latus - rectum is 
.
⇒ 
⇒ 
∴ The correct option is A
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