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)on 23/2/11

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)on 23/2/11

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)on 23/2/11

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)on 23/2/11

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)on 23/2/11

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)on 23/2/11

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)on 23/2/11

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)on 23/2/11

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)on 23/2/11

we have to prove that the perpendicular line being discussed here is Diameter to the circle! Posted by Anupam Ankesh(student)on 23/2/11

we have to prove that the perpendicular line being discussed here is Diameter to the circle! Posted by Anupam Ankesh(student)on 23/2/11

we have to prove that the perpendicular line being discussed here is Diameter to the circle! Posted by Anupam Ankesh(student)on 23/2/11