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Maharashtra State BoardSSC (English Medium) 10th Standard

Which theorem is used while constructing a tangent to the circle by using center of a circle?

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Question

Which theorem is used while constructing a tangent to the circle by using center of a circle?

Options

  • Tangent – radius theorem.

  • Converse of tangent – radius theorem.

  • Pythagoras theorem.

  • Converse of Pythagoras theorem.

MCQ
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Solution

Tangent – radius theorem.

Explanation:

Because it states that the tangent at any point of a circle is perpendicular to the radius through the point of contact. When you construct a tangent using the center of the circle, you draw a radius to the point on the circle and then construct a line perpendicular to that radius at that specific point.

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Chapter 4: Geometric Constructions - Q.1 (A)
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