Ellipse 2 Question 13
13. 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
(2004, 1M)
(a)
(b)
(c)
(d)
Show Answer
Solution:
- Let the point
on .
446 Ellipse
Equation of tangent is,
whose intercept on coordinate axes are
Thus, focus of mid-point