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Question:

The tangent and the normal lines at the point (3,1) to the circle x² + y² = 4 and the x-axis form a triangle. The area of this triangle (in square units) is:

13

13

43

23

Solution:

Correct option is D. 23
Given x² + y² = 4
equation of tangent → 3x + y = 4 (1)
equation of normal x − 3y = 0.. (2)
Coordinate of T(4/3, 0)
∴Area of triangle = 23