Question
The number of tangents that can be drawn from the point
(2, 2) to the circle x² + y² = 8 is:Solution
To find the number of tangents from point (2, 2) to the circle x² + y² = 8, we need to determine the position of the point relative to the circle. The given circle has center (0, 0) and radius r = √8 = 2√2. Substituting the point (2, 2) into the circle equation: 2² + 2² = 4 + 4 = 8 Since the point (2, 2) satisfies the equation x² + y² = 8, it lies on the circle. From any point on a circle, exactly one tangent can be drawn to that circle. Therefore, the number of tangents that can be drawn from (2, 2) to the circle x² + y² = 8 is 1.
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