If tangents drawn from the point `(a ,2)` to the hyperbola `(x^2)/(16)-(y^2)/9=1` are perpendicular, then the value of `a^2` is _____
If tangents drawn from the point `(a ,2)` to the hyperbola `(x^2)/(16)-(y^2)/9=1` are perpendicular, then the value of `a^2` is _____
6 views
1 Answers
Correct Answer - 3
Since tangents drawn from the point `A(a,2)` are perpendiular, A must lie on the director circle `x^(2)+y^(2)=7`. Putting y = 2, we get `x^(2)=a^(2)=3.`
6 views
Answered