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  • The number of real tangents that can be drawn to the ellipse   <img alt="\mathrm {3 x^2+5 y^2=32}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%20%7B3%20x%5E2&plus;5

The number of real tangents that can be drawn to the ellipse   \mathrm {3 x^2+5 y^2=32}  passing through   \mathrm {(3,5)}  is _______.

Option: 1

2


Option: 2

1


Option: 3

0


Option: 4

3


Answers (1)

best_answer

Since  3(3)^2+5(5)^2-32>0 . So, the given point lies outside the ellipse. Hence, two real tangents can be drawn from the point to the ellipse.

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Sayak

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