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  • If tangents drawn from the point (a, 2) to the hyperbola <img alt="\mathrm{\frac{x^2}{16}-\frac{y^2}{9}=1}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B%5Cfrac%7Bx%5E2%7D%

If tangents drawn from the point (a, 2) to the hyperbola \mathrm{\frac{x^2}{16}-\frac{y^2}{9}=1} are perpendicular, then the value of \mathrm{a^2} is __________.

Option: 1

3


Option: 2

2


Option: 3

1


Option: 4

0


Answers (1)

best_answer

Since tangents drawn from the point A(a, 2) are perpendicular, A must lie on the director circle x^2+y^2=7. Putting  y=2, we get x^2=a^2=3.

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mansi

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