If the tangents are drawn to the ellipse , then the locus of the mid point of the intercept made by the tangents between the coordinate axes is |
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a) |
b) |
c) |
d) |
If the tangents are drawn to the ellipse , then the locus of the mid point of the intercept made by the tangents between the coordinate axes is |
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a) |
b) |
c) |
d) |
(a)
Let the point be
Equation of tangent is
Whose intercept on coordinate axes are and
Mid point of its intercept between axes is
Thus, locus of mid point is