Equation of the tangent to the
9x² +4y^2=36 which are
parallel
to y-axis is x=+-k
then k² =
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Answer: Your answer is 0
Step-by-step explanation:
Given hyperbola may be written as,
36
x
2
−
9
y
2
=1
a
2
=36,b
2
=9
Equation of line perpendicular to the line x−y+4=0 is given by,
y=−x+c
Now for this line to be tangent to the given hyperbola, c
2
=a
2
m
2
−b
2
⇒c
2
=36−9=27⇒c=±3
3
Hence required line is, x+y±3
3
=0
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