Question : Which of the following statements is INCORRECT?
Option 1: If a chord is extended outside the circle on both ends then it is called a secant.
Option 2: Tangent is perpendicular to the radius of the circle at the point of contact.
Option 3: A line intersecting at two distinct points of a circle is called a tangent.
Option 4: A tangent is a line touching only one point of the circle.
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Correct Answer: A line intersecting at two distinct points of a circle is called a tangent.
Solution : Third statement: A line that intersects two distinct points of a circle is called a tangent. It is incorrect. ⇒ A line that intersects two distinct points of a circle is called a secant. Hence, the correct answer is 'A line intersecting at two distinct points of a circle is called a tangent'.
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Question : Select the INCORRECT statement with respect to the properties of a circle.
Question : A tangent is drawn from a point M to a circle, which meets the circle at T such that MT = 12 cm. A secant MAB intersects the circle at points A and B. If MA = 8 cm, what is the length (in cm) of the chord AB?
Question : The length of the chord of a circle is 24 cm, and the perpendicular distance between the centre and the chord is 5 cm. The radius of the circle is:
Question : A secant PAB is drawn from an external point P to the circle with centre O, intersecting it at A and B. If OP = 17 cm, PA = 12 cm, and PB = 22.5 cm, then the radius of the circle is:
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