Ellipse 2 Question 5
5. If the tangents on the ellipse at the points and are perpendicular to each other, then is equal to
(a)
(b)
(c)
(d)
(2019 Main, 8 April I)
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Solution:
- Equation of given ellipse is
Now, equation of tangent at point
is
and equation of another tangent at point
Since, lines (ii) and (iii) are perpendicular to each other.
[if lines
are perpendicular, then
Also, the point
[from Eq.(iv)]