A variable chord of the hyperbola 
subtends a right angle at the centre of the hyperbola, if this chord touches
a)
A fixed circle concentric with the hyperbola
b)
A fixed ellipse concentric with the hyperbola
c)
A fixed hyperbola concentric with the hyperbola
d)
A fixed parabola having vertex at (0, 0)
A variable chord of the hyperbola subtends a right angle at the centre of the hyperbola, if this chord touches
a)
A fixed circle concentric with the hyperbola
b)
A fixed ellipse concentric with the hyperbola
c)
A fixed hyperbola concentric with the hyperbola
d)
A fixed parabola having vertex at (0, 0)
Question ID - 56011 | SaraNextGen Top Answer
A variable chord of the hyperbola subtends a right angle at the centre of the hyperbola, if this chord touches
a)
A fixed circle concentric with the hyperbola
b)
A fixed ellipse concentric with the hyperbola
c)
A fixed hyperbola concentric with the hyperbola
d)
A fixed parabola having vertex at (0, 0)
|
A variable chord of the hyperbola |
|
|
a) |
A fixed circle concentric with the hyperbola |
|
b) |
A fixed ellipse concentric with the hyperbola |
|
c) |
A fixed hyperbola concentric with the hyperbola |
|
d) |
A fixed parabola having vertex at (0, 0) |
(a)
Let the variable chord be
Let this chord intersect the hyperbola at 
and 
. Then the combined equation of 
and 
is given by
This chord subtends a right angle at centre. Therefore, Coefficient of 
coefficient of 
Hence, 
is constant, i.e., it touches the fixed circle