Question

prove that the prependicular at point of contact to tangent to a circle passes the centre​

Answer 1

Answer:

o is the centere of given circle

a tangent PR is drawen touching by the circle of point P.

draw QP parllel to RP at point P such that point Q lies on the circle

angle QPR = 90 degree ( radius parllel tangent)

also angle QPR = 90 degree

therefore, angle QPR = angle QRP

now, above case is possible only when the centrel o lies on the line QP

hence perpendicular at the the point of contact o the tangent to the circle passes through the centralof circle