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  • The number of tangents (real) that can be drawn to the curve <img alt="\mathrm{5 x^2+7 y^2=40}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B5%20x%5E2&plus;7%20y%5E2%3D40%7D

The number of tangents (real) that can be drawn to the curve \mathrm{5 x^2+7 y^2=40} passing through (3,5) is

Option: 1

4


Option: 2

3


Option: 3

1


Option: 4

2


Answers (1)

best_answer

\mathrm{\text { Let } S=5 x^2+7 y^2-40=0}

Now S(3, 5) = 5(9) + 7(25) – 40 > 0
⇒ Point lies outside the ellipse, so two real tangents can
be drawn from the point to the ellipse

Posted by

Suraj Bhandari

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