Q. 34.3( 292 Votes )

If two equal chor

Answer :

Let PQ and RS are two equal chords of a given circle and they are intersecting each other at point T

Draw perpendiculars OV and OU on these chords.

In ΔOVT and ΔOUT,

OV = OU (Equal chords of a circle are equidistant from the centre)

∠OVT = ∠OUT (Each 90°)

OT = OT (Common)

ΔOVT ≅ ΔOUT (RHS congruence rule)

∠OTV = ∠OTU (By congruent parts of congruent triangles )

Therefore, it is proved that the line joining the point of intersection to the centre makes equal angles with the chords.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

In the given figuRS Aggarwal & V Aggarwal - Mathematics

In Fig. 16.121, iRD Sharma - Mathematics

If ABC is RD Sharma - Mathematics

The chord of a ciRD Sharma - Mathematics