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Standard X

Mathematics

Secant and Tangent

A line segmen...

Question

A line segment AB intersects a circle at two distinct points C and D as it passes through its centre, as shown in the figure. The line, whose segment is AB, is a:

Secant

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Chord

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Diameter

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Tangent

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Solution

The correct option is C Diameter
Any line that intersects the circle in two distinct points is called a secant. The line, whose segment is AB, intersects the circle in two points C and D as it passes through the centre. Hence, it is a secant.
The segment of the secant that lies within the circle and whose endpoints lie on the circle is called a chord. In this case, the chord, which is CD passes through the centre. Hence, it is the diameter.

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