Last Updated On [03-11-2023]
The exhaustive set of values of 
such that there exists a tangent to the ellipse 
such that the portion of the tangent intercepted by the hyperbola 
subtends a right angle at the centre of the curves is
a)
b)
(1, 2]
c)
d)
The exhaustive set of values of such that there exists a tangent to the ellipse such that the portion of the tangent intercepted by the hyperbola subtends a right angle at the centre of the curves is
a)
b)
(1, 2]
c)
d)
Question ID - 56002 :-
The exhaustive set of values of such that there exists a tangent to the ellipse such that the portion of the tangent intercepted by the hyperbola subtends a right angle at the centre of the curves is
a)
b)
(1, 2]
c)
d)
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The exhaustive set of values of |
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|
a) |
|
b) |
(1, 2] |
|
c) |
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d) |
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(a)
Equation of tangent at point 
is
(i)
Let it cut the hyperbola at points 
and 
Homogenizing the hyperbola 
with the help of the above the equation, we get
This is a pair of straight lines 
and 
Given 
Coefficient of 
coefficient of 
Now, 
Solving, we get
Next Question :
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If |
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a) |
|
b) |
|
c) |
|
d) |
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and 
are four con-cyclic points on the rectangular hyperbola 
, then coordinates of the orthocentre of the triangle 
is
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