If the line x-2y=12 is tangent to the ellipse x^2/a^2+y^2/b^2 =1 at the point (3,-9/2) then the length of latus rectum be=?

Question

Harshit Singh · Answer

Dear Student Tangent at(3,&minus;9/2​) 3x/a^2​&minus; 9y​/2b^2=1 on Comparing this with given equation of tangent i.e x&minus;2y=12 3/a^2=9/4b^2=1/12​ We geta=6andb=3&radic;3​ length of latus rectum=2b^2​/a =9 Thanks

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If the line x-2y=12 is tangent to the ellipse x^2/a^2+y^2/b^2 =1 at the point (3,-9/2) then the length of latus rectum be=?

If the line x-2y=12 is tangent to the ellipse x^2/a^2+y^2/b^2 =1 at the point (3,-9/2) then the length of latus rectum be=?

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