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Prove that the perpendicular at the poin...

Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre.

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To prove that the perpendicular at the point of contact to the tangent to a circle passes through the center, we can follow these steps: ### Step 1: Draw the Circle and Identify Points - Draw a circle with center O. - Let P be the point of contact where the tangent touches the circle. - Draw the tangent line at point P, and label a point on the tangent line as B. **Hint:** Start by visualizing the circle and the tangent line at the point of contact. ...
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Knowledge Check

  • Two circles with equal radii are intersecting at the points (0, 1) and (0,-1). The tangent at the point (0,1) to one of the circles passes through the centre of the other circle. Then the distance between the centres of these circles is.

    A
    1
    B
    `sqrt (2)`
    C
    `2sqrt(2)`
    D
    `2`

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