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how to find directrix of 9x2+12xy+4y2-98x-74y+300=0 is

datta , 5 Years ago
Grade 12th pass
anser 2 Answers
Aditya Gupta

Last Activity: 5 Years ago

so this is an easy ques and i am getting equation of directrix as 2x – 3y+5=0
reason is coz the above equation can be transformed into:
(x – 3)^2 + (y – 4)^2 = (2x – 3y+5)^2/(2^2+(-3)^2)
this equation is the “focus-directrix” form of the parabola. 
hence we can directly conclude that directrix would be 2x – 3y+5=0

Sai Anil lahane

Last Activity: 2 Years ago

the equation 9x ^ 2 + 12xy + 4y ^ 2 - 98x - 74y + 300 = 0 represents (a) a pair of parallel lines (d) a hyperbola
 

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