The number of tangents that can be drawn from the point

Q: Answer-The number of tangents that can be drawn from the point (2, 2) to the circle x² + y² = 8 is:

To find the number of tangents from point 2, 2 to the circle x y 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 22. Substituting the point 2, 2 into the circle equation 2 2 4 4 8 Since the point 2, 2 satisfies the equation x y 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 x y 8 is 1.

(2, 2) to the circle x² + y² = 8 is:

B 1 Correct Answer Incorrect Answer

C 2 Correct Answer Incorrect Answer

D More than 2 Correct Answer Incorrect Answer

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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AAI ATC JE

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