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find the equation of the tangents from the point 2,2 to t he ellipse 4x 2 +9x 2 =36

find the equation of the tangents from the point 2,2 ย to the ellipse 4x2+9x2=36



Grade:11

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
14 years ago

Dear anubhav

2 tangents can be drawn from given point

4x2+9y2=36

x2/32 +y2/22 =1

equation of tangent

y=mx± √(9m2 +4)

this line passes through (2,2)

so

2= 2m ± √(9m2 +4)

calculate value of m

and put it in above equation


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