Question
Question: The number of tangents to the hyperbola \(\frac{x^{2}}{4} - \frac{y^{2}}{3} = 1\) through (4, 1) is...
The number of tangents to the hyperbola 4x2−3y2=1
through (4, 1) is
A
1
B
2
C
0
D
3
Answer
0
Explanation
Solution
Since the point (4, 1) lies inside the hyperbola [∵416−31−1>0]; ∴ Number of tangents through (4, 1) is 0.