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tangents are drawn through the points (4, √ 3) to the ellipse x 2 /16+y 2 /9=1. the points at which these tangents touch the ellipse are

tangents are drawn through the points (4,√ 3) to the ellipse x2/16+y2/9=1. the points at which these tangents touch the ellipse are

Grade:11

1 Answers

Nishant Vora IIT Patna
askIITians Faculty 2467 Points
7 years ago
Write down eqn of tangent in slope form,

y = mx + root(a^2m^2 + b^2)

this passes thru(4,√3)
hence we get the value of m

and now point of contact from tangent to ellipse are (-a^2 m/c ,b^2 /c)

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