Last Updated On [03-11-2023]
Tangents drawn from the point 
to the circle 
touch the circle at the points 
and 
. The circumcircle of the 
cuts the director circle of ellipse 
orthogonally. Then the value of 
is
Tangents drawn from the point to the circle touch the circle at the points and . The circumcircle of the cuts the director circle of ellipse orthogonally. Then the value of is
Question ID - 153548 :-
Tangents drawn from the point to the circle touch the circle at the points and . The circumcircle of the cuts the director circle of ellipse orthogonally. Then the value of is
|
Tangents drawn from the point |
(9)
Center of the given circle is 
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The circumcircle of 
will circumscribe the quadrilateral 
also, hence one of the diameters must be 
Equation of circumcircle of 
will be
(1)
Director circle of given ellipse will be
(2)
From (1) and (2), by applying condition of orthogonality, we get
Hence 
Next Question :
|
If |
is the length of latus rectum of hyperbola for which 
and 
are the equations of asymptotes and which passes through the point (4, 6), then the value of 
isView Topper Answer
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