Question Detail
Question
Find the length of the tangent drawn from the point (-2,3) to the circle x² + y² + 3x + 7y + 5 = 0.
Correct Answer
Option A is the correct answer.
Detailed Explanation
Here, 2g=3, 2f=7, c=5, x₁=-2, y₁=3. Substituting: TP = √((-2)² + 3² + 3(-2) + 7(3) + 5) = √(4 + 9 - 6 + 21 + 5) = √33 units.
Hint
Use the formula TP = √(x₁² + y₁² + 2gx₁ + 2fy₁ + c) with 2g=3, 2f=7, and c=5.