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)

1 Answer

5876 Votes

3537

Answer Key : (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

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