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 | SaraNextGen Top Answer
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) |
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b) |
(1, 2] |
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c) |
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d) |
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1 Answer
127 votes
Answer Key / Explanation : (a) -
(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
127 votes
Answer Link
127