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Area of the triangle formed by the tangent, the normal at a point of x^2 + y^2 = 4 and the X-axis

The same question, asked 2 times: 22 Apr 2025 S1*, 18 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    22 Apr 2025 S1

    145
    If the tangent and the normal at the point (3,1)(\sqrt{3},1) to the circle x2+y2=4x^{2}+y^{2}= 4, and the XX-axis form a triangle, then the area (in sq.units) of this triangle is

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  2. Question 2

    18 Apr 2026 S1

    56
    The area of the region (in sq. unit) bounded by x-axis, the tangent and normal to the circle x2+y2=4x^2 + y^2 = 4, drawn at a point (1,3)(1, \sqrt{3}) is

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