Question

# can a secant line passes through the center of the circle and cut the circle in...

can a secant line passes through the center of the circle and cut the circle in half?? is that even possible?? if its possible what whill happen to the diameter and secant relationship or its not possible?

A secant of a curve is a line that intersects the curve at least twice.

In case of a circle, a secant is a line that intersects the circle exactly twice. The line segment joining the two points where the secant intersects the circle is a chord. Since a secant intersects the circle at any two points it can go through the center and intersect two points on the circle too. So it is possible for secant to pass through the center of a circle.

If the secant passes through the centre of the circle, the line segment joining the two points of intersection is a diameter.

It can thus be seen that the diameter is a line segment whereas a secant is a line.

A line segment cannot be equal to the line on which it lies.

⇒A diameter of a circle cannot be equal to the secant of the circle.

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