An ellipse has the points and as its foci and as one of its tangents. Then the point where this line touches the ellipse from origin is |
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a) |
b) |
c) |
d) |
None of these |

An ellipse has the points and as its foci and as one of its tangents. Then the point where this line touches the ellipse from origin is |
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a) |
b) |
c) |
d) |
None of these |

1 Answer

127 votes

**(c)**

Equation has three roots, hence three normal can be drawn

Let image of be with respect to

Let be the point of contact

Because the line is tangent to the ellipse, there exists a point uniquely on the line such that

Since

There exists one and only one point on such that

Hence, should be the collinear with

Hence, is a point of intersection of and i.e.

127 votes

127