Hi Rida Draw a circle with centre O. draw a tangent PR touching circle at P.Draw QP perpendicular to RP at point P, Qp lies in the circle.Now, angle OPR = 90 degree (radius perpendicular to tangent) also angle QPR = 90 degree (given)Therefore angle OPR = angle QPR. This is possible only when O lies on QP. Hence, it is proved that the perpendicular at the point of contact to the tangent to a circle passes through the centre. Cheers Best of luck for your exams Posted by Abhinav Verma(student)

Hi Rida Draw a circle with centre O. draw a tangent PR touching circle at P.Draw QP perpendicular to RP at point P, Qp lies in the circle.Now, angle OPR = 90 degree (radius perpendicular to tangent) also angle QPR = 90 degree (given)Therefore angle OPR = angle QPR. This is possible only when O lies on QP. Hence, it is proved that the perpendicular at the point of contact to the tangent to a circle passes through the centre. Cheers Best of luck for your exams Posted by Abhinav Verma(student)

Hi Rida Draw a circle with centre O. draw a tangent PR touching circle at P.Draw QP perpendicular to RP at point P, Qp lies in the circle.Now, angle OPR = 90 degree (radius perpendicular to tangent) also angle QPR = 90 degree (given)Therefore angle OPR = angle QPR. This is possible only when O lies on QP. Hence, it is proved that the perpendicular at the point of contact to the tangent to a circle passes through the centre. Cheers Best of luck for your exams Posted by Abhinav Verma(student)

Draw a circle with centre O. draw a tangent PR touching circle at P.Draw QP perpendicular to RP at point P, Qp lies in the circle.Now, angle OPR = 90 degree (radius perpendicular to tangent) also angle QPR = 90 degree (given) Therefore angle OPR = angle QPR. This is possible only when O lies on QP. Hence, it is proved that the perpendicular at the point of contact to the tangent to a circle passes through the centre. so please click thumbs up at right bottom of this page Posted by Gopi Krishna(student)

Draw a circle with centre O. draw a tangent PR touching circle at P.Draw QP perpendicular to RP at point P, Qp lies in the circle.Now, angle OPR = 90 degree (radius perpendicular to tangent) also angle QPR = 90 degree (given) Therefore angle OPR = angle QPR. This is possible only when O lies on QP. Hence, it is proved that the perpendicular at the point of contact to the tangent to a circle passes through the centre. so please click thumbs up at right bottom of this page Posted by Gopi Krishna(student)

Draw a circle with centre O. draw a tangent PR touching circle at P.Draw QP perpendicular to RP at point P, Qp lies in the circle.Now, angle OPR = 90 degree (radius perpendicular to tangent) also angle QPR = 90 degree (given) Therefore angle OPR = angle QPR. This is possible only when O lies on QP. Hence, it is proved that the perpendicular at the point of contact to the tangent to a circle passes through the centre. so please click thumbs up at right bottom of this page Posted by Gopi Krishna(student)

Draw a cricle with centre o draw a tangent pr touching circle at p draw qp perpendecular to rp at p, qp lies in in the circle now, angle QPR=90 degree(radius perpendecular to tangent) also angleQPR =90degree (given) therefore angle oqr =angle qpr possible only when o lies on qp ,proved Posted by Pratap Reddy(student)

Draw a cricle with centre o draw a tangent pr touching circle at p draw qp perpendecular to rp at p, qp lies in in the circle now, angle QPR=90 degree(radius perpendecular to tangent) also angleQPR =90degree (given) therefore angle oqr =angle qpr possible only when o lies on qp ,proved Posted by Pratap Reddy(student)

Draw a cricle with centre o draw a tangent pr touching circle at p draw qp perpendecular to rp at p, qp lies in in the circle now, angle QPR=90 degree(radius perpendecular to tangent) also angleQPR =90degree (given) therefore angle oqr =angle qpr possible only when o lies on qp ,proved Posted by Pratap Reddy(student)

we have to prove that the perpendicular line being discussed here is Diameter to the circle! Posted by Anupam Ankesh(student)

we have to prove that the perpendicular line being discussed here is Diameter to the circle! Posted by Anupam Ankesh(student)

we have to prove that the perpendicular line being discussed here is Diameter to the circle! Posted by Anupam Ankesh(student)