MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
Menu
Grade: 10
        
IF TWO EQUAL CHORDS OF A CIRCLE INTERSECT WITHIN THE CIRCLE,PROVE THAT THE SEGMENTS OF THE CHORD ARE EQUAL TO THE CORRESPONDING SEGMENTS OF THE OTHER CHORD.
5 months ago

Answers : (1)

Arun
11425 Points
							

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

To prove: PT = RT and ST = QT

Construction: Draw OV PQ and OU  SR. Join OT.   

Proof: In ΔOVT and ΔOUT, 

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

OT = OT      (Common )

∴ ΔOVT ≅ ΔOUT          ( R.H.S.)

⇒ VT= UT                  (By CPCT )

⇒ PV + VT = RU + UT  (∵ AV = RU = ( ½ )PQ = (½) RS

⇒ PT = RT

⇒ PQ – PT = SR – RT     (Given PQ = RS )

⇒ QT= ST.

5 months ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies

Get Extra Rs. 3,180 off

COUPON CODE: SELF20


Course Features

  • 728 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution


Course Features

  • 731 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions


Get Extra Rs. 3,180 off

COUPON CODE: SELF20

Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details