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If the tangents are drawn to the ellipse x²+y²=2 then the locus of the mid points of the intercept made by the tangents between the coordinate axes is ?

If the tangents are drawn to the ellipse x²+y²=2 then the locus of the mid points of the intercept made by the tangents between the coordinate axes is ?

Grade:11

1 Answers

Arun
25750 Points
5 years ago
Dear Shivangi
 
 = 1 is the required answer.2 + 1/2x2 + 1Hence, 1/4y2/h2 = 2.k2+1 ….. (2)Comparing both these equations, we have (2k)2 = 2 is y = mx±√2m2+2y2We know that the equation of line with (h,k) as mid-point of intercept between the coordinate axis is x/2h + y/2k = 1. …... (1)Equation of tangent to ellipse x

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