Ellipse 2 Question 18
18. Find the equation of the common tangent in 1st quadrant to the circle and the ellipse . Also, find the length of the intercept of the tangent between the coordinate axes.
(2005, 4M)
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Answer:
Correct Answer: 18. (a)
Solution:
- Let the common tangent to
and be
Since, Eqs. (i) and (ii) are same tangent.
Since, tangent is in Ist quadrant.
So, the equation of the common tangent is
which meets coordinate axes at